40755600 has 90 divisors (see below), whose sum is σ = 141445746. Its totient is φ = 10867200.

The previous prime is 40755593. The next prime is 40755601. The reversal of 40755600 is 655704.

40755600 is a `hidden beast` number, since 4 + 0 + 7 + 55 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 144 + 40755456 = 12^2 + 6384^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×40755600² = 3322037862720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40755601) 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, 2061 + ... + 9260.

Almost surely, 2^40755600 is an apocalyptic number.

40755600 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 40755600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70722873).

40755600 is an abundant number, since it is smaller than the sum of its proper divisors (100690146).

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

40755600 is a wasteful number, since it uses less digits than its factorization.

40755600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11345 (or 11331 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 40755600 is about 6384.0112781855. The cubic root of 40755600 is about 344.1352001462.

The spelling of 40755600 in words is "forty million, seven hundred fifty-five thousand, six hundred".