42093040504320 has 3200 divisors, whose sum is σ = 177517418158080. Its totient is φ = 9449086648320.

The previous prime is 42093040504301. The next prime is 42093040504337. The reversal of 42093040504320 is 2340504039024.

42093040504320 is a `hidden beast` number, since 4 + 2 + 0 + 93 + 0 + 40 + 504 + 3 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 135347396965 + ... + 135347397275.

Almost surely, 2^{42093040504320} is an apocalyptic number.

42093040504320 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 42093040504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88758709079040).

42093040504320 is an abundant number, since it is smaller than the sum of its proper divisors (135424377653760).

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

42093040504320 is a wasteful number, since it uses less digits than its factorization.

42093040504320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 42093040504320 in words is "forty-two trillion, ninety-three billion, forty million, five hundred four thousand, three hundred twenty".