450035447792640 has 704 divisors, whose sum is σ = 1551400978563072. Its totient is φ = 111020182732800.

The previous prime is 450035447792633. The next prime is 450035447792653. The reversal of 450035447792640 is 46297744530054.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19066863079 + ... + 19066886681.

Almost surely, 2^{450035447792640} is an apocalyptic number.

450035447792640 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 450035447792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775700489281536).

450035447792640 is an abundant number, since it is smaller than the sum of its proper divisors (1101365530770432).

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

450035447792640 is a wasteful number, since it uses less digits than its factorization.

450035447792640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25426 (or 25408 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 60.

The spelling of 450035447792640 in words is "four hundred fifty trillion, thirty-five billion, four hundred forty-seven million, seven hundred ninety-two thousand, six hundred forty".