40039040 has 64 divisors (see below), whose sum is σ = 97142760. Its totient is φ = 15777792.

The previous prime is 40039039. The next prime is 40039049. The reversal of 40039040 is 4093004.

40039040 = T₂₅₁ + T₂₅₂ + ... + T₆₃₄.

It can be written as a sum of positive squares in 4 ways, for example, as 38837824 + 1201216 = 6232^2 + 1096^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (40039049) 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, 46292 + ... + 47148.

Almost surely, 2^40039040 is an apocalyptic number.

40039040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48571380).

40039040 is an abundant number, since it is smaller than the sum of its proper divisors (57103720).

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

40039040 is an equidigital number, since it uses as much as digits as its factorization.

40039040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 40039040 is about 6327.6409506229. The cubic root of 40039040 is about 342.1064155925.

The spelling of 40039040 in words is "forty million, thirty-nine thousand, forty".