42055286313600 has 1920 divisors, whose sum is σ = 179533754104320. Its totient is φ = 9495827251200.

The previous prime is 42055286313583. The next prime is 42055286313617. The reversal of 42055286313600 is 631368255024.

42055286313600 is a `hidden beast` number, since 4 + 2 + 0 + 5 + 5 + 2 + 8 + 6 + 31 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (42055286313583) and next prime (42055286313617).

It is a tau number, because it is divible by the number of its divisors (1920).

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 239 ways as a sum of consecutive naturals, for example, 91226217370 + ... + 91226217830.

It is an arithmetic number, because the mean of its divisors is an integer number (93507163596).

Almost surely, 2^{42055286313600} is an apocalyptic number.

42055286313600 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 42055286313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89766877052160).

42055286313600 is an abundant number, since it is smaller than the sum of its proper divisors (137478467790720).

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

42055286313600 is a wasteful number, since it uses less digits than its factorization.

42055286313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 42055286313600 in words is "forty-two trillion, fifty-five billion, two hundred eighty-six million, three hundred thirteen thousand, six hundred".