42730390080 has 1120 divisors, whose sum is σ = 183542464512. Its totient is φ = 9231667200.

The previous prime is 42730390019. The next prime is 42730390093. The reversal of 42730390080 is 8009303724.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 399349387 + ... + 399349493.

Almost surely, 2^42730390080 is an apocalyptic number.

42730390080 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 42730390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91771232256).

42730390080 is an abundant number, since it is smaller than the sum of its proper divisors (140812074432).

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

42730390080 is a wasteful number, since it uses less digits than its factorization.

42730390080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 42730390080 in words is "forty-two billion, seven hundred thirty million, three hundred ninety thousand, eighty".