42065015832 has 288 divisors, whose sum is σ = 140946156000. Its totient is φ = 11096137728.

The previous prime is 42065015791. The next prime is 42065015929. The reversal of 42065015832 is 23851056024.

42065015832 is a `hidden beast` number, since 4 + 20 + 6 + 50 + 1 + 583 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7717044 + ... + 7722492.

It is an arithmetic number, because the mean of its divisors is an integer number (489396375).

Almost surely, 2^42065015832 is an apocalyptic number.

42065015832 is a gapful number since it is divisible by the number (42) 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 42065015832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70473078000).

42065015832 is an abundant number, since it is smaller than the sum of its proper divisors (98881140168).

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

42065015832 is a wasteful number, since it uses less digits than its factorization.

42065015832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5555 (or 5531 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 42065015832 in words is "forty-two billion, sixty-five million, fifteen thousand, eight hundred thirty-two".