42139802880 has 720 divisors, whose sum is σ = 177978307584. Its totient is φ = 9316270080.

The previous prime is 42139802813. The next prime is 42139802891. The reversal of 42139802880 is 8820893124.

42139802880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22497624 + ... + 22499496.

Almost surely, 2^42139802880 is an apocalyptic number.

42139802880 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 42139802880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88989153792).

42139802880 is an abundant number, since it is smaller than the sum of its proper divisors (135838504704).

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

42139802880 is a wasteful number, since it uses less digits than its factorization.

42139802880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 42139802880 in words is "forty-two billion, one hundred thirty-nine million, eight hundred two thousand, eight hundred eighty".