40177664 has 52 divisors (see below), whose sum is σ = 85219164. Its totient is φ = 18874368.

The previous prime is 40177651. The next prime is 40177679. The reversal of 40177664 is 46677104.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 36966400 + 3211264 = 6080^2 + 1792^2 .

It is a super-2 number, since 2×40177664² = 3228489368993792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69344 + ... + 69920.

Almost surely, 2^40177664 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 40177664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42609582).

40177664 is an abundant number, since it is smaller than the sum of its proper divisors (45041500).

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

40177664 is an equidigital number, since it uses as much as digits as its factorization.

40177664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 40177664 is about 6338.5853311287. The cubic root of 40177664 is about 342.5007768111.

The spelling of 40177664 in words is "forty million, one hundred seventy-seven thousand, six hundred sixty-four".