40755456 has 243 divisors, whose sum is σ = 144266031. Its totient is φ = 11031552.

The previous prime is 40755433. The next prime is 40755461. The reversal of 40755456 is 65455704.

It is a happy number.

The square root of 40755456 is 6384.

It is a perfect power (a square), and thus also a powerful number.

40755456 is a `hidden beast` number, since 40 + 75 + 545 + 6 = 666.

It is a super-2 number, since 2×40755456² = 3322014387535872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40755456.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2145015 + ... + 2145033.

Almost surely, 2^40755456 is an apocalyptic number.

40755456 is the 6384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40755456

40755456 is an abundant number, since it is smaller than the sum of its proper divisors (103510575).

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

40755456 is a wasteful number, since it uses less digits than its factorization.

40755456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The cubic root of 40755456 is about 344.1347948398.

Multiplying 40755456 by its sum of digits (36), we get a square (1467196416 = 38304²).

40755456 divided by its sum of digits (36) gives a square (1132096 = 1064²).

The spelling of 40755456 in words is "forty million, seven hundred fifty-five thousand, four hundred fifty-six".