40534800 has 120 divisors (see below), whose sum is σ = 137553696. Its totient is φ = 10168320.

The previous prime is 40534789. The next prime is 40534831. The reversal of 40534800 is 843504.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×40534800² = 3286140022080000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19407 + ... + 21393.

Almost surely, 2^40534800 is an apocalyptic number.

40534800 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 40534800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68776848).

40534800 is an abundant number, since it is smaller than the sum of its proper divisors (97018896).

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

40534800 is a wasteful number, since it uses less digits than its factorization.

40534800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 40534800 is about 6366.6945898166. The cubic root of 40534800 is about 343.5126052382.

The spelling of 40534800 in words is "forty million, five hundred thirty-four thousand, eight hundred".