42392125440 has 768 divisors, whose sum is σ = 177038870400. Its totient is φ = 9427746816.

The previous prime is 42392125421. The next prime is 42392125487. The reversal of 42392125440 is 4452129324.

It is a happy number.

42392125440 is a `hidden beast` number, since 4 + 2 + 3 + 92 + 125 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a junction number, because it is equal to n+sod(n) for n = 42392125395 and 42392125404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1145733102 + ... + 1145733138.

Almost surely, 2^42392125440 is an apocalyptic number.

42392125440 is a gapful number since it is divisible by the number (40) 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 42392125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88519435200).

42392125440 is an abundant number, since it is smaller than the sum of its proper divisors (134646744960).

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

42392125440 is an frugal number, since it uses more digits than its factorization.

42392125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 42392125440 in words is "forty-two billion, three hundred ninety-two million, one hundred twenty-five thousand, four hundred forty".