42625440 has 480 divisors, whose sum is σ = 184415616. Its totient is φ = 9123840.

The previous prime is 42625421. The next prime is 42625459. The reversal of 42625440 is 4452624.

It is an interprime number because it is at equal distance from previous prime (42625421) and next prime (42625459).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1853269 + ... + 1853291.

Almost surely, 2^42625440 is an apocalyptic number.

42625440 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 42625440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92207808).

42625440 is an abundant number, since it is smaller than the sum of its proper divisors (141790176).

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

42625440 is a wasteful number, since it uses less digits than its factorization.

42625440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 42625440 is about 6528.8161254549. The cubic root of 42625440 is about 349.3196033426.

The spelling of 42625440 in words is "forty-two million, six hundred twenty-five thousand, four hundred forty".