40660800 has 168 divisors, whose sum is σ = 137196576. Its totient is φ = 10536960.

The previous prime is 40660799. The next prime is 40660801. The reversal of 40660800 is 806604.

It is an interprime number because it is at equal distance from previous prime (40660799) and next prime (40660801).

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 (40660801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206302 + ... + 206498.

Almost surely, 2^40660800 is an apocalyptic number.

40660800 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 40660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68598288).

40660800 is an abundant number, since it is smaller than the sum of its proper divisors (96535776).

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

40660800 is a wasteful number, since it uses less digits than its factorization.

40660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 40660800 is about 6376.5821566102. The cubic root of 40660800 is about 343.8681665373.

The spelling of 40660800 in words is "forty million, six hundred sixty thousand, eight hundred".