140837264640 has 432 divisors, whose sum is σ = 498996650880. Its totient is φ = 36661248000.

The previous prime is 140837264621. The next prime is 140837264641. The reversal of 140837264640 is 46462738041.

140837264640 is a `hidden beast` number, since 1 + 40 + 83 + 72 + 6 + 464 + 0 = 666.

It is a super-2 number, since 2×140837264640² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140837264641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153250101 + ... + 153251019.

It is an arithmetic number, because the mean of its divisors is an integer number (1155084840).

Almost surely, 2^140837264640 is an apocalyptic number.

140837264640 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 140837264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249498325440).

140837264640 is an abundant number, since it is smaller than the sum of its proper divisors (358159386240).

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

140837264640 is a wasteful number, since it uses less digits than its factorization.

140837264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 140837264640 in words is "one hundred forty billion, eight hundred thirty-seven million, two hundred sixty-four thousand, six hundred forty".