40800384 has 96 divisors (see below), whose sum is σ = 118862640. Its totient is φ = 13432320.

The previous prime is 40800341. The next prime is 40800427. The reversal of 40800384 is 48300804.

It is an interprime number because it is at equal distance from previous prime (40800341) and next prime (40800427).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123099 + ... + 123429.

Almost surely, 2^40800384 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 40800384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59431320).

40800384 is an abundant number, since it is smaller than the sum of its proper divisors (78062256).

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

40800384 is a wasteful number, since it uses less digits than its factorization.

40800384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 40800384 is about 6387.5178277638. The cubic root of 40800384 is about 344.2612041736.

The spelling of 40800384 in words is "forty million, eight hundred thousand, three hundred eighty-four".