42072787920 has 160 divisors (see below), whose sum is σ = 132637760640. Its totient is φ = 11030722560.

The previous prime is 42072787903. The next prime is 42072787931. The reversal of 42072787920 is 2978727024.

It is a happy number.

It is a super-2 number, since 2×42072787920² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 42072787920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3420822 + ... + 3433098.

It is an arithmetic number, because the mean of its divisors is an integer number (828986004).

Almost surely, 2^42072787920 is an apocalyptic number.

42072787920 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 42072787920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66318880320).

42072787920 is an abundant number, since it is smaller than the sum of its proper divisors (90564972720).

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

42072787920 is a wasteful number, since it uses less digits than its factorization.

42072787920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12533 (or 12527 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 42072787920 in words is "forty-two billion, seventy-two million, seven hundred eighty-seven thousand, nine hundred twenty".