31263805440 has 832 divisors, whose sum is σ = 130783403520. Its totient is φ = 6936330240.

The previous prime is 31263805439. The next prime is 31263805459. The reversal of 31263805440 is 4450836213.

31263805440 is a `hidden beast` number, since 3 + 12 + 638 + 0 + 5 + 4 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 31263805395 and 31263805404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158699422 + ... + 158699618.

Almost surely, 2^31263805440 is an apocalyptic number.

31263805440 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 31263805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65391701760).

31263805440 is an abundant number, since it is smaller than the sum of its proper divisors (99519598080).

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

31263805440 is a wasteful number, since it uses less digits than its factorization.

31263805440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 31263805440 in words is "thirty-one billion, two hundred sixty-three million, eight hundred five thousand, four hundred forty".