403668468000 has 1536 divisors, whose sum is σ = 1817157888000. Its totient is φ = 86704128000.

The previous prime is 403668467981. The next prime is 403668468029. The reversal of 403668468000 is 864866304.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 629747680 + ... + 629748320.

It is an arithmetic number, because the mean of its divisors is an integer number (1183045500).

Almost surely, 2^403668468000 is an apocalyptic number.

403668468000 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 403668468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908578944000).

403668468000 is an abundant number, since it is smaller than the sum of its proper divisors (1413489420000).

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

403668468000 is a wasteful number, since it uses less digits than its factorization.

403668468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 403668468000 in words is "four hundred three billion, six hundred sixty-eight million, four hundred sixty-eight thousand".