8408400488400 has 240 divisors, whose sum is σ = 29388550851648. Its totient is φ = 2038052352000.

The previous prime is 8408400488359. The next prime is 8408400488447. The reversal of 8408400488400 is 48840048048.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 8408400488400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82013170 + ... + 82115630.

Almost surely, 2^{8408400488400} is an apocalyptic number.

8408400488400 is a gapful number since it is divisible by the number (80) 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 8408400488400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14694275425824).

8408400488400 is an abundant number, since it is smaller than the sum of its proper divisors (20980150363248).

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

8408400488400 is a wasteful number, since it uses less digits than its factorization.

8408400488400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108710 (or 108699 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 8408400488400 in words is "eight trillion, four hundred eight billion, four hundred million, four hundred eighty-eight thousand, four hundred".