42538548340800 has 672 divisors, whose sum is σ = 160138443816960. Its totient is φ = 10973064038400.

The previous prime is 42538548340759. The next prime is 42538548340817. The reversal of 42538548340800 is 804384583524.

42538548340800 is a `hidden beast` number, since 4 + 2 + 5 + 3 + 85 + 483 + 4 + 0 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4128748449 + ... + 4128758751.

It is an arithmetic number, because the mean of its divisors is an integer number (238301255680).

Almost surely, 2^{42538548340800} is an apocalyptic number.

42538548340800 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 42538548340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80069221908480).

42538548340800 is an abundant number, since it is smaller than the sum of its proper divisors (117599895476160).

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

42538548340800 is a wasteful number, since it uses less digits than its factorization.

42538548340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13448 (or 13427 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 42538548340800 in words is "forty-two trillion, five hundred thirty-eight billion, five hundred forty-eight million, three hundred forty thousand, eight hundred".