40125456 has 100 divisors (see below), whose sum is σ = 132755392. Its totient is φ = 11461824.

The previous prime is 40125419. The next prime is 40125469. The reversal of 40125456 is 65452104.

40125456 is a `hidden beast` number, since 401 + 254 + 5 + 6 = 666.

It is a super-2 number, since 2×40125456² = 3220104438415872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6861 + ... + 11283.

Almost surely, 2^40125456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40125456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66377696).

40125456 is an abundant number, since it is smaller than the sum of its proper divisors (92629936).

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

40125456 is a wasteful number, since it uses less digits than its factorization.

40125456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4450 (or 4435 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 40125456 is about 6334.4657233266. The cubic root of 40125456 is about 342.3523607550.

The spelling of 40125456 in words is "forty million, one hundred twenty-five thousand, four hundred fifty-six".