58442342400 has 840 divisors, whose sum is σ = 234011626464. Its totient is φ = 14332723200.

The previous prime is 58442342377. The next prime is 58442342447. The reversal of 58442342400 is 424324485.

58442342400 is a `hidden beast` number, since 584 + 4 + 2 + 34 + 2 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 215654265 + ... + 215654535.

Almost surely, 2^58442342400 is an apocalyptic number.

58442342400 is a gapful number since it is divisible by the number (50) 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 58442342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117005813232).

58442342400 is an abundant number, since it is smaller than the sum of its proper divisors (175569284064).

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

58442342400 is a wasteful number, since it uses less digits than its factorization.

58442342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 58442342400 its reverse (424324485), we get a palindrome (58866666885).

The spelling of 58442342400 in words is "fifty-eight billion, four hundred forty-two million, three hundred forty-two thousand, four hundred".