40363920 has 100 divisors (see below), whose sum is σ = 140212380. Its totient is φ = 10761984.

The previous prime is 40363913. The next prime is 40363957. The reversal of 40363920 is 2936304.

40363920 is a `hidden beast` number, since 4 + 0 + 3 + 639 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17438976 + 22924944 = 4176^2 + 4788^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3366 + ... + 9594.

Almost surely, 2^40363920 is an apocalyptic number.

40363920 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 40363920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70106190).

40363920 is an abundant number, since it is smaller than the sum of its proper divisors (99848460).

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

40363920 is a wasteful number, since it uses less digits than its factorization.

40363920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6254 (or 6239 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 40363920 is about 6353.2605802060. The cubic root of 40363920 is about 343.0292171957.

The spelling of 40363920 in words is "forty million, three hundred sixty-three thousand, nine hundred twenty".