40007856 has 160 divisors (see below), whose sum is σ = 127991808. Its totient is φ = 10517760.

The previous prime is 40007843. The next prime is 40007881. The reversal of 40007856 is 65870004.

40007856 = 1121² + 1122² + ... + 1151².

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239485 + ... + 239651.

Almost surely, 2^40007856 is an apocalyptic number.

40007856 is a gapful number since it is divisible by the number (46) 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 40007856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63995904).

40007856 is an abundant number, since it is smaller than the sum of its proper divisors (87983952).

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

40007856 is a wasteful number, since it uses less digits than its factorization.

40007856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 40007856 is about 6325.1763611776. The cubic root of 40007856 is about 342.0175771548.

The spelling of 40007856 in words is "forty million, seven thousand, eight hundred fifty-six".