331126253640 has 2304 divisors, whose sum is σ = 1560095147520. Its totient is φ = 61272391680.

The previous prime is 331126253629. The next prime is 331126253669. The reversal of 331126253640 is 46352621133.

331126253640 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 2 + 6 + 2 + 5 + 3 + 640 = 666.

It is a super-2 number, since 2×331126253640² (a number of 24 digits) contains 22 as substring.

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 = 331126253595 and 331126253604.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5428299210 + ... + 5428299270.

It is an arithmetic number, because the mean of its divisors is an integer number (677124630).

Almost surely, 2^331126253640 is an apocalyptic number.

331126253640 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 331126253640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780047573760).

331126253640 is an abundant number, since it is smaller than the sum of its proper divisors (1228968893880).

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

331126253640 is a wasteful number, since it uses less digits than its factorization.

331126253640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 331126253640 its reverse (46352621133), we get a palindrome (377478874773).

The spelling of 331126253640 in words is "three hundred thirty-one billion, one hundred twenty-six million, two hundred fifty-three thousand, six hundred forty".