8408016000000 has 616 divisors, whose sum is σ = 31126795321920. Its totient is φ = 2242022400000.

The previous prime is 8408015999987. The next prime is 8408016000023. The reversal of 8408016000000 is 6108048.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 431990269 + ... + 432009731.

Almost surely, 2^{8408016000000} is an apocalyptic number.

8408016000000 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 8408016000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15563397660960).

8408016000000 is an abundant number, since it is smaller than the sum of its proper divisors (22718779321920).

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

8408016000000 is an frugal number, since it uses more digits than its factorization.

8408016000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19522 (or 19473 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 8408016000000 in words is "eight trillion, four hundred eight billion, sixteen million", and thus it is an aban number.