140465964925440 has 1920 divisors, whose sum is σ = 613411863128064. Its totient is φ = 28857434112000.

The previous prime is 140465964925421. The next prime is 140465964925441. The reversal of 140465964925440 is 44529469564041.

140465964925440 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 6 + 5 + 96 + 492 + 54 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (140465964925441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72742601275 + ... + 72742603205.

Almost surely, 2^{140465964925440} is an apocalyptic number.

140465964925440 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 140465964925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306705931564032).

140465964925440 is an abundant number, since it is smaller than the sum of its proper divisors (472945898202624).

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

140465964925440 is a wasteful number, since it uses less digits than its factorization.

140465964925440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 140465964925440 in words is "one hundred forty trillion, four hundred sixty-five billion, nine hundred sixty-four million, nine hundred twenty-five thousand, four hundred forty".