58631221440 has 1120 divisors, whose sum is σ = 244298419200. Its totient is φ = 13198049280.

The previous prime is 58631221403. The next prime is 58631221531. The reversal of 58631221440 is 4412213685.

It is a happy number.

58631221440 is a `hidden beast` number, since 5 + 8 + 631 + 2 + 2 + 14 + 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 = 58631221395 and 58631221404.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 427965052 + ... + 427965188.

Almost surely, 2^58631221440 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 58631221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122149209600).

58631221440 is an abundant number, since it is smaller than the sum of its proper divisors (185667197760).

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

58631221440 is a wasteful number, since it uses less digits than its factorization.

58631221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 256 counting only the distinct ones).

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

The spelling of 58631221440 in words is "fifty-eight billion, six hundred thirty-one million, two hundred twenty-one thousand, four hundred forty".