42313758480 has 800 divisors, whose sum is σ = 183000787200. Its totient is φ = 8841498624.

The previous prime is 42313758469. The next prime is 42313758491. The reversal of 42313758480 is 8485731324.

42313758480 is a `hidden beast` number, since 4 + 2 + 31 + 37 + 584 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42313758469) and next prime (42313758491).

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 159 ways as a sum of consecutive naturals, for example, 24992514 + ... + 24994206.

It is an arithmetic number, because the mean of its divisors is an integer number (228750984).

Almost surely, 2^42313758480 is an apocalyptic number.

42313758480 is a gapful number since it is divisible by the number (40) 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 42313758480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91500393600).

42313758480 is an abundant number, since it is smaller than the sum of its proper divisors (140687028720).

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

42313758480 is a wasteful number, since it uses less digits than its factorization.

42313758480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1758 counting only the distinct ones).

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

The spelling of 42313758480 in words is "forty-two billion, three hundred thirteen million, seven hundred fifty-eight thousand, four hundred eighty".