42636099873024 has 288 divisors, whose sum is σ = 144415222560000. Its totient is φ = 12154605797376.

The previous prime is 42636099872953. The next prime is 42636099873053. The reversal of 42636099873024 is 42037899063624.

42636099873024 is a `hidden beast` number, since 4 + 263 + 60 + 9 + 9 + 8 + 7 + 302 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20743122 + ... + 22705710.

It is an arithmetic number, because the mean of its divisors is an integer number (501441745000).

Almost surely, 2^{42636099873024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42636099873024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72207611280000).

42636099873024 is an abundant number, since it is smaller than the sum of its proper divisors (101779122686976).

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

42636099873024 is a wasteful number, since it uses less digits than its factorization.

42636099873024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963070 (or 1963050 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 42636099873024 in words is "forty-two trillion, six hundred thirty-six billion, ninety-nine million, eight hundred seventy-three thousand, twenty-four".