58419185040 has 320 divisors, whose sum is σ = 209073285120. Its totient is φ = 14977198080.

The previous prime is 58419185039. The next prime is 58419185047. The reversal of 58419185040 is 4058191485.

It is a happy number.

58419185040 is a `hidden beast` number, since 58 + 4 + 1 + 91 + 8 + 504 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (58419185047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10509942 + ... + 10515498.

It is an arithmetic number, because the mean of its divisors is an integer number (653354016).

Almost surely, 2^58419185040 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 58419185040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104536642560).

58419185040 is an abundant number, since it is smaller than the sum of its proper divisors (150654100080).

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

58419185040 is a wasteful number, since it uses less digits than its factorization.

58419185040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5767 (or 5755 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 58419185040 in words is "fifty-eight billion, four hundred nineteen million, one hundred eighty-five thousand, forty".