42754158720 has 1792 divisors, whose sum is σ = 202280198400. Its totient is φ = 8384643072.

The previous prime is 42754158677. The next prime is 42754158737. The reversal of 42754158720 is 2785145724.

42754158720 is a `hidden beast` number, since 4 + 2 + 7 + 5 + 41 + 587 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 806682214 + ... + 806682266.

It is an arithmetic number, because the mean of its divisors is an integer number (112879575).

Almost surely, 2^42754158720 is an apocalyptic number.

42754158720 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 42754158720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101140099200).

42754158720 is an abundant number, since it is smaller than the sum of its proper divisors (159526039680).

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

42754158720 is a wasteful number, since it uses less digits than its factorization.

42754158720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 42754158720 in words is "forty-two billion, seven hundred fifty-four million, one hundred fifty-eight thousand, seven hundred twenty".