40960800 has 108 divisors (see below), whose sum is σ = 144463410. Its totient is φ = 10920960.

The previous prime is 40960793. The next prime is 40960807. The reversal of 40960800 is 806904.

It is an interprime number because it is at equal distance from previous prime (40960793) and next prime (40960807).

It can be written as a sum of positive squares in 3 ways, for example, as 38489616 + 2471184 = 6204^2 + 1572^2 .

It is not an unprimeable number, because it can be changed into a prime (40960807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4356 + ... + 10044.

Almost surely, 2^40960800 is an apocalyptic number.

40960800 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 40960800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72231705).

40960800 is an abundant number, since it is smaller than the sum of its proper divisors (103502610).

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

40960800 is a wasteful number, since it uses less digits than its factorization.

40960800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5715 (or 5699 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 40960800 is about 6400.0624996948. The cubic root of 40960800 is about 344.7117945933.

It can be divided in two parts, 40960 and 800, that multiplied together give a cube (32768000 = 320³).

The spelling of 40960800 in words is "forty million, nine hundred sixty thousand, eight hundred".