31426078464 has 288 divisors, whose sum is σ = 104130190080. Its totient is φ = 9264844800.

The previous prime is 31426078459. The next prime is 31426078511. The reversal of 31426078464 is 46487062413.

31426078464 is a `hidden beast` number, since 31 + 4 + 2 + 607 + 8 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2807599 + ... + 2818769.

It is an arithmetic number, because the mean of its divisors is an integer number (361563160).

Almost surely, 2^31426078464 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 31426078464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52065095040).

31426078464 is an abundant number, since it is smaller than the sum of its proper divisors (72704111616).

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

31426078464 is a wasteful number, since it uses less digits than its factorization.

31426078464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11244 (or 11224 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 31426078464 in words is "thirty-one billion, four hundred twenty-six million, seventy-eight thousand, four hundred sixty-four".