42807950304 has 384 divisors, whose sum is σ = 139854274560. Its totient is φ = 11192961024.

The previous prime is 42807950299. The next prime is 42807950321. The reversal of 42807950304 is 40305970824.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56549094 + ... + 56549850.

It is an arithmetic number, because the mean of its divisors is an integer number (364203840).

Almost surely, 2^42807950304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42807950304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69927137280).

42807950304 is an abundant number, since it is smaller than the sum of its proper divisors (97046324256).

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

42807950304 is a wasteful number, since it uses less digits than its factorization.

42807950304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 42807950304 in words is "forty-two billion, eight hundred seven million, nine hundred fifty thousand, three hundred four".