42555049574400 has 2856 divisors, whose sum is σ = 179064292901760. Its totient is φ = 9937354752000.

The previous prime is 42555049574363. The next prime is 42555049574407. The reversal of 42555049574400 is 447594055524.

42555049574400 is a `hidden beast` number, since 4 + 2 + 5 + 5 + 504 + 95 + 7 + 4 + 40 + 0 = 666.

It is a super-2 number, since 2×42555049574400² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42555049574407) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 538671513561 + ... + 538671513639.

Almost surely, 2^{42555049574400} is an apocalyptic number.

42555049574400 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 42555049574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89532146450880).

42555049574400 is an abundant number, since it is smaller than the sum of its proper divisors (136509243327360).

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

42555049574400 is an frugal number, since it uses more digits than its factorization.

42555049574400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 20160000, while the sum is 54.

The spelling of 42555049574400 in words is "forty-two trillion, five hundred fifty-five billion, forty-nine million, five hundred seventy-four thousand, four hundred".