40389600 has 72 divisors (see below), whose sum is σ = 131475960. Its totient is φ = 10769920.

The previous prime is 40389581. The next prime is 40389691. The reversal of 40389600 is 698304.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6015 + ... + 10814.

It is an arithmetic number, because the mean of its divisors is an integer number (1826055).

Almost surely, 2^40389600 is an apocalyptic number.

40389600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40389600 is an abundant number, since it is smaller than the sum of its proper divisors (91086360).

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

40389600 is a wasteful number, since it uses less digits than its factorization.

40389600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16852 (or 16839 counting only the distinct ones).

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

The square root of 40389600 is about 6355.2812683626. The cubic root of 40389600 is about 343.1019481795.

The spelling of 40389600 in words is "forty million, three hundred eighty-nine thousand, six hundred".