3171441992400 has 2160 divisors, whose sum is σ = 13475457515520. Its totient is φ = 687253248000.

The previous prime is 3171441992281. The next prime is 3171441992429. The reversal of 3171441992400 is 42991441713.

3171441992400 is a `hidden beast` number, since 3 + 1 + 7 + 144 + 19 + 92 + 400 = 666.

It is a super-2 number, since 2×3171441992400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 12058714669 + ... + 12058714931.

Almost surely, 2^{3171441992400} is an apocalyptic number.

3171441992400 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 3171441992400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6737728757760).

3171441992400 is an abundant number, since it is smaller than the sum of its proper divisors (10304015523120).

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

3171441992400 is a wasteful number, since it uses less digits than its factorization.

3171441992400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 3171441992400 in words is "three trillion, one hundred seventy-one billion, four hundred forty-one million, nine hundred ninety-two thousand, four hundred".