42828979200 has 792 divisors, whose sum is σ = 173618352000. Its totient is φ = 9258762240.

The previous prime is 42828979147. The next prime is 42828979211. The reversal of 42828979200 is 297982824.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71500501 + ... + 71501099.

Almost surely, 2^42828979200 is an apocalyptic number.

42828979200 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 42828979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86809176000).

42828979200 is an abundant number, since it is smaller than the sum of its proper divisors (130789372800).

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

42828979200 is a wasteful number, since it uses less digits than its factorization.

42828979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 42828979200 in words is "forty-two billion, eight hundred twenty-eight million, nine hundred seventy-nine thousand, two hundred".