140928657408 has 1440 divisors, whose sum is σ = 569383214400. Its totient is φ = 33867694080.

The previous prime is 140928657371. The next prime is 140928657437. The reversal of 140928657408 is 804756829041.

It is a happy number.

140928657408 is a `hidden beast` number, since 1 + 40 + 9 + 28 + 6 + 574 + 0 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2388621283 + ... + 2388621341.

It is an arithmetic number, because the mean of its divisors is an integer number (395405010).

Almost surely, 2^140928657408 is an apocalyptic number.

140928657408 is a gapful number since it is divisible by the number (18) 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 140928657408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284691607200).

140928657408 is an abundant number, since it is smaller than the sum of its proper divisors (428454556992).

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

140928657408 is a wasteful number, since it uses less digits than its factorization.

140928657408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 140928657408 in words is "one hundred forty billion, nine hundred twenty-eight million, six hundred fifty-seven thousand, four hundred eight".