40811400960 has 576 divisors, whose sum is σ = 148034525184. Its totient is φ = 9496166400.

The previous prime is 40811400941. The next prime is 40811400967. The reversal of 40811400960 is 6900411804.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40811400967) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 121101912 + ... + 121102248.

It is an arithmetic number, because the mean of its divisors is an integer number (257004384).

Almost surely, 2^40811400960 is an apocalyptic number.

40811400960 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 40811400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74017262592).

40811400960 is an abundant number, since it is smaller than the sum of its proper divisors (107223124224).

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

40811400960 is a wasteful number, since it uses less digits than its factorization.

40811400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

It can be divided in two parts, 4081 and 1400960, that added together give a palindrome (1405041).

The spelling of 40811400960 in words is "forty billion, eight hundred eleven million, four hundred thousand, nine hundred sixty".