42554436135200 has 576 divisors, whose sum is σ = 121695176760192. Its totient is φ = 14359304601600.

The previous prime is 42554436135191. The next prime is 42554436135203. The reversal of 42554436135200 is 253163445524.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (42554436135203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3262619879 + ... + 3262632921.

It is an arithmetic number, because the mean of its divisors is an integer number (211276348542).

Almost surely, 2^{42554436135200} is an apocalyptic number.

42554436135200 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 42554436135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60847588380096).

42554436135200 is an abundant number, since it is smaller than the sum of its proper divisors (79140740624992).

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

42554436135200 is a wasteful number, since it uses less digits than its factorization.

42554436135200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13397 (or 13384 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 44.

The spelling of 42554436135200 in words is "forty-two trillion, five hundred fifty-four billion, four hundred thirty-six million, one hundred thirty-five thousand, two hundred".