311225153134040 has 128 divisors (see below), whose sum is σ = 726634233561600. Its totient is φ = 119842874818560.

The previous prime is 311225153134031. The next prime is 311225153134067. The reversal of 311225153134040 is 40431351522113.

It is a super-2 number, since 2×311225153134040² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5842492526 + ... + 5842545794.

It is an arithmetic number, because the mean of its divisors is an integer number (5676829949700).

Almost surely, 2^{311225153134040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311225153134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363317116780800).

311225153134040 is an abundant number, since it is smaller than the sum of its proper divisors (415409080427560).

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

311225153134040 is a wasteful number, since it uses less digits than its factorization.

311225153134040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77917 (or 77913 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 311225153134040 in words is "three hundred eleven trillion, two hundred twenty-five billion, one hundred fifty-three million, one hundred thirty-four thousand, forty".