31144411520640 has 384 divisors, whose sum is σ = 117553031481600. Its totient is φ = 7535319244800.

The previous prime is 31144411520639. The next prime is 31144411520701. The reversal of 31144411520640 is 4602511444113.

31144411520640 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 4 + 4 + 1 + 1 + 5 + 2 + 0 + 640 = 666.

31144411520640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31144411520595 and 31144411520604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31767385 + ... + 32733095.

It is an arithmetic number, because the mean of its divisors is an integer number (306127686150).

Almost surely, 2^{31144411520640} is an apocalyptic number.

31144411520640 is a gapful number since it is divisible by the number (30) 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 31144411520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58776515740800).

31144411520640 is an abundant number, since it is smaller than the sum of its proper divisors (86408619960960).

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

31144411520640 is a wasteful number, since it uses less digits than its factorization.

31144411520640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966256 (or 966241 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 31144411520640 its reverse (4602511444113), we get a palindrome (35746922964753).

The spelling of 31144411520640 in words is "thirty-one trillion, one hundred forty-four billion, four hundred eleven million, five hundred twenty thousand, six hundred forty".