3171431390400 has 3024 divisors, whose sum is σ = 15369826268160. Its totient is φ = 612425318400.

The previous prime is 3171431390363. The next prime is 3171431390471. The reversal of 3171431390400 is 40931341713.

It is a happy number.

3171431390400 is a `hidden beast` number, since 3 + 17 + 143 + 13 + 90 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 5402778907 + ... + 5402779493.

Almost surely, 2^{3171431390400} is an apocalyptic number.

3171431390400 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 3171431390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7684913134080).

3171431390400 is an abundant number, since it is smaller than the sum of its proper divisors (12198394877760).

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

3171431390400 is a wasteful number, since it uses less digits than its factorization.

3171431390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 3171431390400 in words is "three trillion, one hundred seventy-one billion, four hundred thirty-one million, three hundred ninety thousand, four hundred".