42072988776 has 192 divisors, whose sum is σ = 133575624000. Its totient is φ = 10943880192.

The previous prime is 42072988733. The next prime is 42072988777. The reversal of 42072988776 is 67788927024.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (42072988777) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1097175 + ... + 1134873.

It is an arithmetic number, because the mean of its divisors is an integer number (695706375).

Almost surely, 2^42072988776 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 42072988776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66787812000).

42072988776 is an abundant number, since it is smaller than the sum of its proper divisors (91502635224).

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

42072988776 is a wasteful number, since it uses less digits than its factorization.

42072988776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37808 (or 37797 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 60.

The spelling of 42072988776 in words is "forty-two billion, seventy-two million, nine hundred eighty-eight thousand, seven hundred seventy-six".