42401616 has 60 divisors (see below), whose sum is σ = 115653312. Its totient is φ = 13384512.

The previous prime is 42401599. The next prime is 42401633. The reversal of 42401616 is 61610424.

It is an interprime number because it is at equal distance from previous prime (42401599) and next prime (42401633).

It is a super-2 number, since 2×42401616² = 3595794078822912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16105 + ... + 18551.

Almost surely, 2^42401616 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 42401616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57826656).

42401616 is an abundant number, since it is smaller than the sum of its proper divisors (73251696).

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

42401616 is a wasteful number, since it uses less digits than its factorization.

42401616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 42401616 is about 6511.6523248712. The cubic root of 42401616 is about 348.7071102560.

The spelling of 42401616 in words is "forty-two million, four hundred one thousand, six hundred sixteen".