40400960 has 56 divisors (see below), whose sum is σ = 96780096. Its totient is φ = 16064000.

The previous prime is 40400911. The next prime is 40400977. The reversal of 40400960 is 6900404.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80069 + ... + 80571.

It is an arithmetic number, because the mean of its divisors is an integer number (1728216).

Almost surely, 2^40400960 is an apocalyptic number.

40400960 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 40400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48390048).

40400960 is an abundant number, since it is smaller than the sum of its proper divisors (56379136).

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

40400960 is a wasteful number, since it uses less digits than its factorization.

40400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 40400960 is about 6356.1749503927. The cubic root of 40400960 is about 343.1341121752.

The spelling of 40400960 in words is "forty million, four hundred thousand, nine hundred sixty".