450103534434400 has 144 divisors (see below), whose sum is σ = 1369951484993280. Its totient is φ = 140292010713600.

The previous prime is 450103534434221. The next prime is 450103534434401. The reversal of 450103534434400 is 4434435301054.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450103534434401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3653376180 + ... + 3653499379.

It is an arithmetic number, because the mean of its divisors is an integer number (9513551979120).

Almost surely, 2^{450103534434400} is an apocalyptic number.

450103534434400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450103534434400 is an abundant number, since it is smaller than the sum of its proper divisors (919847950558880).

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

450103534434400 is a wasteful number, since it uses less digits than its factorization.

450103534434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7306875597 (or 7306875584 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

Adding to 450103534434400 its reverse (4434435301054), we get a palindrome (454537969735454).

The spelling of 450103534434400 in words is "four hundred fifty trillion, one hundred three billion, five hundred thirty-four million, four hundred thirty-four thousand, four hundred".