430400455320000 has 280 divisors, whose sum is σ = 1552368367009152. Its totient is φ = 104339504000000.

The previous prime is 430400455319969. The next prime is 430400455320049. The reversal of 430400455320000 is 23554004034.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 430400455320000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 161710476 + ... + 164350475.

Almost surely, 2^{430400455320000} is an apocalyptic number.

430400455320000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

430400455320000 is an abundant number, since it is smaller than the sum of its proper divisors (1121967911689152).

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

430400455320000 is a wasteful number, since it uses less digits than its factorization.

430400455320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326060997 (or 326060972 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The spelling of 430400455320000 in words is "four hundred thirty trillion, four hundred billion, four hundred fifty-five million, three hundred twenty thousand".