40079904446400 has 2016 divisors, whose sum is σ = 167338983494592. Its totient is φ = 8323596288000.

The previous prime is 40079904446363. The next prime is 40079904446509. The reversal of 40079904446400 is 464440997004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 99949886200 + ... + 99949886600.

It is an arithmetic number, because the mean of its divisors is an integer number (83005448162).

Almost surely, 2^{40079904446400} is an apocalyptic number.

40079904446400 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 40079904446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83669491747296).

40079904446400 is an abundant number, since it is smaller than the sum of its proper divisors (127259079048192).

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

40079904446400 is a wasteful number, since it uses less digits than its factorization.

40079904446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 40079904446400 in words is "forty trillion, seventy-nine billion, nine hundred four million, four hundred forty-six thousand, four hundred".