40457664 has 112 divisors (see below), whose sum is σ = 128158240. Its totient is φ = 12441600.

The previous prime is 40457653. The next prime is 40457689. The reversal of 40457664 is 46675404.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21564 + ... + 23364.

It is an arithmetic number, because the mean of its divisors is an integer number (1144270).

Almost surely, 2^40457664 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 40457664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64079120).

40457664 is an abundant number, since it is smaller than the sum of its proper divisors (87700576).

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

40457664 is a wasteful number, since it uses less digits than its factorization.

40457664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 40457664 is about 6360.6339306707. The cubic root of 40457664 is about 343.2945702511.

The spelling of 40457664 in words is "forty million, four hundred fifty-seven thousand, six hundred sixty-four".