40909440 has 256 divisors, whose sum is σ = 154224000. Its totient is φ = 9093120.

The previous prime is 40909423. The next prime is 40909447. The reversal of 40909440 is 4490904.

It is a super-2 number, since 2×40909440² = 3347164562227200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40909398 and 40909407.

It is not an unprimeable number, because it can be changed into a prime (40909447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274486 + ... + 274634.

Almost surely, 2^40909440 is an apocalyptic number.

40909440 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 40909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77112000).

40909440 is an abundant number, since it is smaller than the sum of its proper divisors (113314560).

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

40909440 is a wasteful number, since it uses less digits than its factorization.

40909440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 40909440 is about 6396.0487803018. The cubic root of 40909440 is about 344.5676583893.

It can be divided in two parts, 4090 and 9440, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 40909440 in words is "forty million, nine hundred nine thousand, four hundred forty".