40388580 has 72 divisors (see below), whose sum is σ = 123315192. Its totient is φ = 10699776.

The previous prime is 40388519. The next prime is 40388599. The reversal of 40388580 is 8588304.

40388580 is a `hidden beast` number, since 40 + 38 + 8 + 580 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25826724 + 14561856 = 5082^2 + 3816^2 .

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

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, 30492 + ... + 31788.

It is an arithmetic number, because the mean of its divisors is an integer number (1712711).

Almost surely, 2^40388580 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 40388580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61657596).

40388580 is an abundant number, since it is smaller than the sum of its proper divisors (82926612).

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

40388580 is a wasteful number, since it uses less digits than its factorization.

40388580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 40388580 is about 6355.2010196374. The cubic root of 40388580 is about 343.0990599200.

The spelling of 40388580 in words is "forty million, three hundred eighty-eight thousand, five hundred eighty".