140828559963840 has 1008 divisors, whose sum is σ = 588193281059904. Its totient is φ = 30805899264000.

The previous prime is 140828559963829. The next prime is 140828559963853. The reversal of 140828559963840 is 48369955828041.

140828559963840 is a `hidden beast` number, since 1 + 4 + 0 + 8 + 2 + 8 + 559 + 9 + 63 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 318286765 + ... + 318728915.

Almost surely, 2^{140828559963840} is an apocalyptic number.

140828559963840 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 140828559963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294096640529952).

140828559963840 is an abundant number, since it is smaller than the sum of its proper divisors (447364721096064).

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

140828559963840 is a wasteful number, since it uses less digits than its factorization.

140828559963840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442286 (or 442266 counting only the distinct ones).

The product of its (nonzero) digits is 597196800, while the sum is 72.

The spelling of 140828559963840 in words is "one hundred forty trillion, eight hundred twenty-eight billion, five hundred fifty-nine million, nine hundred sixty-three thousand, eight hundred forty".