42251781792 has 96 divisors (see below), whose sum is σ = 121476547584. Its totient is φ = 12752480000.

The previous prime is 42251781787. The next prime is 42251781823. The reversal of 42251781792 is 29718715224.

It is a tau number, because it is divible by the number of its divisors (96).

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, 185353 + ... + 344759.

It is an arithmetic number, because the mean of its divisors is an integer number (1265380704).

Almost surely, 2^42251781792 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 42251781792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60738273792).

42251781792 is an abundant number, since it is smaller than the sum of its proper divisors (79224765792).

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

42251781792 is a wasteful number, since it uses less digits than its factorization.

42251781792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159682 (or 159674 counting only the distinct ones).

The product of its digits is 564480, while the sum is 48.

The spelling of 42251781792 in words is "forty-two billion, two hundred fifty-one million, seven hundred eighty-one thousand, seven hundred ninety-two".