408360400000 has 768 divisors, whose sum is σ = 1287412600320. Its totient is φ = 125706240000.

The previous prime is 408360399961. The next prime is 408360400009. The reversal of 408360400000 is 4063804.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (408360400009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1094799814 + ... + 1094800186.

It is an arithmetic number, because the mean of its divisors is an integer number (1676318490).

Almost surely, 2^408360400000 is an apocalyptic number.

408360400000 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 408360400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643706300160).

408360400000 is an abundant number, since it is smaller than the sum of its proper divisors (879052200320).

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

408360400000 is an equidigital number, since it uses as much as digits as its factorization.

408360400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 408360400000 its reverse (4063804), we get a palindrome (408364463804).

The spelling of 408360400000 in words is "four hundred eight billion, three hundred sixty million, four hundred thousand".