42724370574720 has 768 divisors, whose sum is σ = 162209410272000. Its totient is φ = 10715770920960.

The previous prime is 42724370574667. The next prime is 42724370574727. The reversal of 42724370574720 is 2747507342724.

42724370574720 is a `hidden beast` number, since 4 + 2 + 7 + 2 + 43 + 7 + 0 + 574 + 7 + 20 = 666.

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 (42724370574727) 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, 410676310 + ... + 410780330.

It is an arithmetic number, because the mean of its divisors is an integer number (211210169625).

Almost surely, 2^{42724370574720} is an apocalyptic number.

42724370574720 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 42724370574720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81104705136000).

42724370574720 is an abundant number, since it is smaller than the sum of its proper divisors (119485039697280).

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

42724370574720 is a wasteful number, since it uses less digits than its factorization.

42724370574720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104213 (or 104189 counting only the distinct ones).

The product of its (nonzero) digits is 18439680, while the sum is 54.

The spelling of 42724370574720 in words is "forty-two trillion, seven hundred twenty-four billion, three hundred seventy million, five hundred seventy-four thousand, seven hundred twenty".