31219403904 has 192 divisors, whose sum is σ = 96898696440. Its totient is φ = 9590980608.

The previous prime is 31219403903. The next prime is 31219403923. The reversal of 31219403904 is 40930491213.

31219403904 is a `hidden beast` number, since 31 + 219 + 403 + 9 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25265738304 + 5953665600 = 158952^2 + 77160^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (31219403903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13132764 + ... + 13135140.

Almost surely, 2^31219403904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31219403904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48449348220).

31219403904 is an abundant number, since it is smaller than the sum of its proper divisors (65679292536).

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

31219403904 is a wasteful number, since it uses less digits than its factorization.

31219403904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287 (or 3272 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 31219403904 in words is "thirty-one billion, two hundred nineteen million, four hundred three thousand, nine hundred four".