40633440 has 48 divisors (see below), whose sum is σ = 127996848. Its totient is φ = 10835456.

The previous prime is 40633429. The next prime is 40633441. The reversal of 40633440 is 4433604.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40633440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40633441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41847 + ... + 42806.

It is an arithmetic number, because the mean of its divisors is an integer number (2666601).

Almost surely, 2^40633440 is an apocalyptic number.

40633440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40633440 is an abundant number, since it is smaller than the sum of its proper divisors (87363408).

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

40633440 is a wasteful number, since it uses less digits than its factorization.

40633440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84671 (or 84663 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 40633440 is about 6374.4364456789. The cubic root of 40633440 is about 343.7910214406.

It can be divided in two parts, 4063 and 3440, that added together give a triangular number (7503 = T₁₂₂).

The spelling of 40633440 in words is "forty million, six hundred thirty-three thousand, four hundred forty".