58420297440 has 240 divisors, whose sum is σ = 206419253040. Its totient is φ = 15560294400.

The previous prime is 58420297433. The next prime is 58420297451. The reversal of 58420297440 is 4479202485.

58420297440 is a `hidden beast` number, since 584 + 2 + 0 + 29 + 7 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13618816 + ... + 13623104.

It is an arithmetic number, because the mean of its divisors is an integer number (860080221).

Almost surely, 2^58420297440 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 58420297440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103209626520).

58420297440 is an abundant number, since it is smaller than the sum of its proper divisors (147998955600).

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

58420297440 is a wasteful number, since it uses less digits than its factorization.

58420297440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5367 (or 5350 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 58420297440 in words is "fifty-eight billion, four hundred twenty million, two hundred ninety-seven thousand, four hundred forty".