40480048484400 has 480 divisors, whose sum is σ = 157426511756800. Its totient is φ = 8685182361600.

The previous prime is 40480048484357. The next prime is 40480048484413. The reversal of 40480048484400 is 448484008404.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 40480048484400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16232940 + ... + 18559860.

Almost surely, 2^{40480048484400} is an apocalyptic number.

40480048484400 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 40480048484400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78713255878400).

40480048484400 is an abundant number, since it is smaller than the sum of its proper divisors (116946463272400).

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

40480048484400 is a wasteful number, since it uses less digits than its factorization.

40480048484400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2327077 (or 2327066 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 48.

The spelling of 40480048484400 in words is "forty trillion, four hundred eighty billion, forty-eight million, four hundred eighty-four thousand, four hundred".