42736632238080 has 1248 divisors, whose sum is σ = 168472802534400. Its totient is φ = 10305705738240.

The previous prime is 42736632238043. The next prime is 42736632238099. The reversal of 42736632238080 is 8083223663724.

42736632238080 is a `hidden beast` number, since 4 + 273 + 6 + 63 + 2 + 238 + 0 + 80 = 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, 10893862999 + ... + 10893866921.

It is an arithmetic number, because the mean of its divisors is an integer number (134994232800).

Almost surely, 2^{42736632238080} is an apocalyptic number.

42736632238080 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 42736632238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84236401267200).

42736632238080 is an abundant number, since it is smaller than the sum of its proper divisors (125736170296320).

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

42736632238080 is a wasteful number, since it uses less digits than its factorization.

42736632238080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4177 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 42736632238080 in words is "forty-two trillion, seven hundred thirty-six billion, six hundred thirty-two million, two hundred thirty-eight thousand, eighty".