31048293079440 has 1600 divisors, whose sum is σ = 135532500364800. Its totient is φ = 6413391986688.

The previous prime is 31048293079423. The next prime is 31048293079459. The reversal of 31048293079440 is 4497039284013.

31048293079440 is a `hidden beast` number, since 3 + 1 + 0 + 48 + 2 + 93 + 0 + 79 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5983480366 + ... + 5983485554.

It is an arithmetic number, because the mean of its divisors is an integer number (84707812728).

Almost surely, 2^{31048293079440} is an apocalyptic number.

31048293079440 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 31048293079440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67766250182400).

31048293079440 is an abundant number, since it is smaller than the sum of its proper divisors (104484207285360).

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

31048293079440 is a wasteful number, since it uses less digits than its factorization.

31048293079440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5446 (or 5431 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 31048293079440 in words is "thirty-one trillion, forty-eight billion, two hundred ninety-three million, seventy-nine thousand, four hundred forty".