31412891400 has 192 divisors, whose sum is σ = 106793164800. Its totient is φ = 7575072000.

The previous prime is 31412891381. The next prime is 31412891417. The reversal of 31412891400 is 419821413.

It is a happy number.

It is a super-2 number, since 2×31412891400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1248141 + ... + 1273059.

It is an arithmetic number, because the mean of its divisors is an integer number (556214400).

Almost surely, 2^31412891400 is an apocalyptic number.

31412891400 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 31412891400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53396582400).

31412891400 is an abundant number, since it is smaller than the sum of its proper divisors (75380273400).

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

31412891400 is a wasteful number, since it uses less digits than its factorization.

31412891400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25140 (or 25131 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 31412891400 in words is "thirty-one billion, four hundred twelve million, eight hundred ninety-one thousand, four hundred".