31401824256 has 416 divisors, whose sum is σ = 103041469440. Its totient is φ = 9370828800.

The previous prime is 31401824243. The next prime is 31401824257. The reversal of 31401824256 is 65242810413.

It is a happy number.

31401824256 is a `hidden beast` number, since 3 + 1 + 401 + 8 + 242 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 31401824256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31401824257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100970341 + ... + 100970651.

It is an arithmetic number, because the mean of its divisors is an integer number (247695840).

Almost surely, 2^31401824256 is an apocalyptic number.

31401824256 is a gapful number since it is divisible by the number (36) 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 31401824256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51520734720).

31401824256 is an abundant number, since it is smaller than the sum of its proper divisors (71639645184).

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

31401824256 is a wasteful number, since it uses less digits than its factorization.

31401824256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 31401824256 in words is "thirty-one billion, four hundred one million, eight hundred twenty-four thousand, two hundred fifty-six".