450104050643400 has 576 divisors, whose sum is σ = 1570753219526400. Its totient is φ = 119785384224000.

The previous prime is 450104050643309. The next prime is 450104050643407. The reversal of 450104050643400 is 4346050401054.

450104050643400 is a `hidden beast` number, since 4 + 5 + 0 + 1 + 0 + 4 + 0 + 5 + 0 + 643 + 4 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (450104050643407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60343748871 + ... + 60343756329.

Almost surely, 2^{450104050643400} is an apocalyptic number.

450104050643400 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 450104050643400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785376609763200).

450104050643400 is an abundant number, since it is smaller than the sum of its proper divisors (1120649168883000).

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

450104050643400 is a wasteful number, since it uses less digits than its factorization.

450104050643400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9832 (or 9811 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 450104050643400 in words is "four hundred fifty trillion, one hundred four billion, fifty million, six hundred forty-three thousand, four hundred".