58424806440 has 1536 divisors, whose sum is σ = 279925632000. Its totient is φ = 10547159040.

The previous prime is 58424806399. The next prime is 58424806469. The reversal of 58424806440 is 4460842485.

58424806440 is a `hidden beast` number, since 58 + 424 + 80 + 64 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3436753312 + ... + 3436753328.

It is an arithmetic number, because the mean of its divisors is an integer number (182243250).

Almost surely, 2^58424806440 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 58424806440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139962816000).

58424806440 is an abundant number, since it is smaller than the sum of its proper divisors (221500825560).

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

58424806440 is a wasteful number, since it uses less digits than its factorization.

58424806440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 58424806440 in words is "fifty-eight billion, four hundred twenty-four million, eight hundred six thousand, four hundred forty".