15140120440032 has 144 divisors (see below), whose sum is σ = 50039381508480. Its totient is φ = 4252430889216.

The previous prime is 15140120440031. The next prime is 15140120440043. The reversal of 15140120440032 is 23004402104151.

15140120440032 is a `hidden beast` number, since 1 + 51 + 4 + 0 + 1 + 204 + 400 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×15140120440032² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 15140120439978 and 15140120440005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15140120440031) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 63524958 + ... + 63762845.

It is an arithmetic number, because the mean of its divisors is an integer number (347495704920).

Almost surely, 2^{15140120440032} is an apocalyptic number.

15140120440032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

15140120440032 is an abundant number, since it is smaller than the sum of its proper divisors (34899261068448).

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

15140120440032 is a wasteful number, since it uses less digits than its factorization.

15140120440032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127287885 (or 127287874 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 15140120440032 its reverse (23004402104151), we get a palindrome (38144522544183).

The spelling of 15140120440032 in words is "fifteen trillion, one hundred forty billion, one hundred twenty million, four hundred forty thousand, thirty-two".