408493800000 has 2016 divisors, whose sum is σ = 1843445761920. Its totient is φ = 87436800000.

The previous prime is 408493799999. The next prime is 408493800031. The reversal of 408493800000 is 8394804.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 17760599989 + ... + 17760600011.

It is an arithmetic number, because the mean of its divisors is an integer number (914407620).

Almost surely, 2^408493800000 is an apocalyptic number.

408493800000 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 408493800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921722880960).

408493800000 is an abundant number, since it is smaller than the sum of its proper divisors (1434951961920).

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

408493800000 is a wasteful number, since it uses less digits than its factorization.

408493800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 408493800000 in words is "four hundred eight billion, four hundred ninety-three million, eight hundred thousand".