40400040444000 has 96 divisors (see below), whose sum is σ = 132350532533856. Its totient is φ = 10773344115200.

The previous prime is 40400040443989. The next prime is 40400040444037. The reversal of 40400040444000 is 44404000404.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1683323019 + ... + 1683347018.

It is an arithmetic number, because the mean of its divisors is an integer number (1378651380561).

Almost surely, 2^{40400040444000} is an apocalyptic number.

40400040444000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40400040444000 is an abundant number, since it is smaller than the sum of its proper divisors (91950492089856).

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

40400040444000 is a wasteful number, since it uses less digits than its factorization.

40400040444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3366670065 (or 3366670047 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 40400040444000 its reverse (44404000404), we get a palindrome (40444444444404).

The spelling of 40400040444000 in words is "forty trillion, four hundred billion, forty million, four hundred forty-four thousand".