42162591744 has 1152 divisors, whose sum is σ = 166944960000. Its totient is φ = 10534551552.

The previous prime is 42162591707. The next prime is 42162591767. The reversal of 42162591744 is 44719526124.

42162591744 is a `hidden beast` number, since 4 + 2 + 1 + 625 + 9 + 17 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

Its product of digits (483840) is a multiple of the sum of its prime factors (90).

It is a self number, because there is not a number n which added to its sum of digits gives 42162591744.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2219083767 + ... + 2219083785.

It is an arithmetic number, because the mean of its divisors is an integer number (144917500).

Almost surely, 2^42162591744 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 42162591744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83472480000).

42162591744 is an abundant number, since it is smaller than the sum of its proper divisors (124782368256).

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

42162591744 is an equidigital number, since it uses as much as digits as its factorization.

42162591744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 44 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 42162591744 in words is "forty-two billion, one hundred sixty-two million, five hundred ninety-one thousand, seven hundred forty-four".