40461624 has 96 divisors (see below), whose sum is σ = 128219520. Its totient is φ = 11285568.

The previous prime is 40461611. The next prime is 40461643. The reversal of 40461624 is 42616404.

40461624 is a `hidden beast` number, since 40 + 4 + 616 + 2 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20739 + ... + 22605.

It is an arithmetic number, because the mean of its divisors is an integer number (1335620).

Almost surely, 2^40461624 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 40461624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64109760).

40461624 is an abundant number, since it is smaller than the sum of its proper divisors (87757896).

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

40461624 is a wasteful number, since it uses less digits than its factorization.

40461624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 40461624 is about 6360.9452127809. The cubic root of 40461624 is about 343.3057704541.

The spelling of 40461624 in words is "forty million, four hundred sixty-one thousand, six hundred twenty-four".