42579072000 has 528 divisors, whose sum is σ = 160207587072. Its totient is φ = 10853990400.

The previous prime is 42579071999. The next prime is 42579072017. The reversal of 42579072000 is 27097524.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26495197 + ... + 26496803.

Almost surely, 2^42579072000 is an apocalyptic number.

42579072000 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 42579072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80103793536).

42579072000 is an abundant number, since it is smaller than the sum of its proper divisors (117628515072).

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

42579072000 is a wasteful number, since it uses less digits than its factorization.

42579072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 42579072000 in words is "forty-two billion, five hundred seventy-nine million, seventy-two thousand".