42011082838272 has 144 divisors (see below), whose sum is σ = 112810476014208. Its totient is φ = 13878506127360.

The previous prime is 42011082838243. The next prime is 42011082838393. The reversal of 42011082838272 is 27283828011024.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1908455938 + ... + 1908477950.

It is an arithmetic number, because the mean of its divisors is an integer number (783406083432).

Almost surely, 2^{42011082838272} 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 42011082838272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56405238007104).

42011082838272 is an abundant number, since it is smaller than the sum of its proper divisors (70799393175936).

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

42011082838272 is a wasteful number, since it uses less digits than its factorization.

42011082838272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44136 (or 44122 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 42011082838272 in words is "forty-two trillion, eleven billion, eighty-two million, eight hundred thirty-eight thousand, two hundred seventy-two".