450435035551440 has 80 divisors (see below), whose sum is σ = 1397519062573248. Its totient is φ = 120015325406208.

The previous prime is 450435035551421. The next prime is 450435035551451. The reversal of 450435035551440 is 44155530534054.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 450435035551440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 786307414 + ... + 786880053.

Almost surely, 2^{450435035551440} is an apocalyptic number.

450435035551440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450435035551440 is an abundant number, since it is smaller than the sum of its proper divisors (947084027021808).

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

450435035551440 is a wasteful number, since it uses less digits than its factorization.

450435035551440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573188676 (or 1573188670 counting only the distinct ones).

The product of its (nonzero) digits is 7200000, while the sum is 48.

The spelling of 450435035551440 in words is "four hundred fifty trillion, four hundred thirty-five billion, thirty-five million, five hundred fifty-one thousand, four hundred forty".