140022453288960 has 1440 divisors, whose sum is σ = 566116088126400. Its totient is φ = 32772508876800.

The previous prime is 140022453288959. The next prime is 140022453288961. The reversal of 140022453288960 is 69882354220041.

140022453288960 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 2 + 24 + 532 + 8 + 89 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (140022453288959) and next prime (140022453288961).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 140022453288897 and 140022453288906.

It is not an unprimeable number, because it can be changed into a prime (140022453288961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7761337540 + ... + 7761355580.

It is an arithmetic number, because the mean of its divisors is an integer number (393136172310).

Almost surely, 2^{140022453288960} is an apocalyptic number.

140022453288960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140022453288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283058044063200).

140022453288960 is an abundant number, since it is smaller than the sum of its proper divisors (426093634837440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

140022453288960 is a wasteful number, since it uses less digits than its factorization.

140022453288960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18134 (or 18091 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 140022453288960 in words is "one hundred forty trillion, twenty-two billion, four hundred fifty-three million, two hundred eighty-eight thousand, nine hundred sixty".