450214451430000 has 100 divisors (see below), whose sum is σ = 1453352277906408. Its totient is φ = 120057187040000.

The previous prime is 450214451429969. The next prime is 450214451430017. The reversal of 450214451430000 is 34154412054.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7503544191 + ... + 7503604190.

Almost surely, 2^{450214451430000} is an apocalyptic number.

450214451430000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450214451430000 is an abundant number, since it is smaller than the sum of its proper divisors (1003137826476408).

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

450214451430000 is a wasteful number, since it uses less digits than its factorization.

450214451430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15007148412 (or 15007148391 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 450214451430000 in words is "four hundred fifty trillion, two hundred fourteen billion, four hundred fifty-one million, four hundred thirty thousand".