40056000 has 112 divisors (see below), whose sum is σ = 132344160. Its totient is φ = 10675200.

The previous prime is 40055987. The next prime is 40056007. The reversal of 40056000 is 65004.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (40056007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23166 + ... + 24834.

Almost surely, 2^40056000 is an apocalyptic number.

40056000 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 40056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66172080).

40056000 is an abundant number, since it is smaller than the sum of its proper divisors (92288160).

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

40056000 is a wasteful number, since it uses less digits than its factorization.

40056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 40056000 is about 6328.9809606287. The cubic root of 40056000 is about 342.1547126693.

The spelling of 40056000 in words is "forty million, fifty-six thousand", and thus it is an eban number.