40321638 has 120 divisors (see below), whose sum is σ = 109579536. Its totient is φ = 10847520.

The previous prime is 40321621. The next prime is 40321643. The reversal of 40321638 is 83612304.

It is a happy number.

40321638 is a `hidden beast` number, since 4 + 0 + 3 + 21 + 638 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1089756 + ... + 1089792.

Almost surely, 2^40321638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40321638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54789768).

40321638 is an abundant number, since it is smaller than the sum of its proper divisors (69257898).

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

40321638 is a wasteful number, since it uses less digits than its factorization.

40321638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 40321638 is about 6349.9321256215. The cubic root of 40321638 is about 342.9093987316.

The spelling of 40321638 in words is "forty million, three hundred twenty-one thousand, six hundred thirty-eight".