40266880 has 64 divisors (see below), whose sum is σ = 101953080. Its totient is φ = 15155200.

The previous prime is 40266857. The next prime is 40266881. The reversal of 40266880 is 8866204.

It can be written as a sum of positive squares in 4 ways, for example, as 35141184 + 5125696 = 5928^2 + 2264^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (40266881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9030 + ... + 12730.

Almost surely, 2^40266880 is an apocalyptic number.

40266880 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 40266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50976540).

40266880 is an abundant number, since it is smaller than the sum of its proper divisors (61686200).

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

40266880 is a wasteful number, since it uses less digits than its factorization.

40266880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3737 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 40266880 is about 6345.6189611416. The cubic root of 40266880 is about 342.7541013104.

The spelling of 40266880 in words is "forty million, two hundred sixty-six thousand, eight hundred eighty".