40149600 has 72 divisors (see below), whose sum is σ = 130694760. Its totient is φ = 10705920.

The previous prime is 40149583. The next prime is 40149607. The reversal of 40149600 is 694104.

It is a super-2 number, since 2×40149600² = 3223980760320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40149607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5965 + ... + 10764.

It is an arithmetic number, because the mean of its divisors is an integer number (1815205).

Almost surely, 2^40149600 is an apocalyptic number.

40149600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40149600 is an abundant number, since it is smaller than the sum of its proper divisors (90545160).

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

40149600 is a wasteful number, since it uses less digits than its factorization.

40149600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16752 (or 16739 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 40149600 is about 6336.3712012476. The cubic root of 40149600 is about 342.4210129184.

The spelling of 40149600 in words is "forty million, one hundred forty-nine thousand, six hundred".