58018429440 has 320 divisors, whose sum is σ = 212742097920. Its totient is φ = 14971944960.

The previous prime is 58018429327. The next prime is 58018429451. The reversal of 58018429440 is 4492481085.

58018429440 is a `hidden beast` number, since 5 + 8 + 0 + 184 + 29 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×58018429440² (a number of 22 digits) contains 22 as substring.

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

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, 2129182 + ... + 2156258.

It is an arithmetic number, because the mean of its divisors is an integer number (664819056).

Almost surely, 2^58018429440 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 58018429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106371048960).

58018429440 is an abundant number, since it is smaller than the sum of its proper divisors (154723668480).

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

58018429440 is a wasteful number, since it uses less digits than its factorization.

58018429440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27140 (or 27118 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 58018429440 in words is "fifty-eight billion, eighteen million, four hundred twenty-nine thousand, four hundred forty".