42137226432 has 448 divisors, whose sum is σ = 148362009600. Its totient is φ = 11616224256.

The previous prime is 42137226413. The next prime is 42137226449. The reversal of 42137226432 is 23462273124.

42137226432 is a `hidden beast` number, since 4 + 2 + 1 + 3 + 7 + 2 + 2 + 643 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28412763 + ... + 28414245.

It is an arithmetic number, because the mean of its divisors is an integer number (331165200).

Almost surely, 2^42137226432 is an apocalyptic number.

42137226432 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 42137226432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74181004800).

42137226432 is an abundant number, since it is smaller than the sum of its proper divisors (106224783168).

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

42137226432 is an equidigital number, since it uses as much as digits as its factorization.

42137226432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1524 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

Adding to 42137226432 its reverse (23462273124), we get a palindrome (65599499556).

The spelling of 42137226432 in words is "forty-two billion, one hundred thirty-seven million, two hundred twenty-six thousand, four hundred thirty-two".