311545402020400 has 60 divisors (see below), whose sum is σ = 749390709523600. Its totient is φ = 124467837200640.

The previous prime is 311545402020389. The next prime is 311545402020403. The reversal of 311545402020400 is 4020204545113.

It is not an unprimeable number, because it can be changed into a prime (311545402020403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 469429260 + ... + 470092459.

Almost surely, 2^{311545402020400} is an apocalyptic number.

It is an amenable number.

311545402020400 is an abundant number, since it is smaller than the sum of its proper divisors (437845307503200).

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

311545402020400 is a wasteful number, since it uses less digits than its factorization.

311545402020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939522566 (or 939522555 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 311545402020400 its reverse (4020204545113), we get a palindrome (315565606565513).

The spelling of 311545402020400 in words is "three hundred eleven trillion, five hundred forty-five billion, four hundred two million, twenty thousand, four hundred".