454491039744 has 768 divisors, whose sum is σ = 1585059840000. Its totient is φ = 126011179008.

The previous prime is 454491039733. The next prime is 454491039757. The reversal of 454491039744 is 447930194454.

It is a happy number.

454491039744 is a `hidden beast` number, since 4 + 5 + 449 + 103 + 97 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2721503149 + ... + 2721503315.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880000).

Almost surely, 2^454491039744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454491039744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792529920000).

454491039744 is an abundant number, since it is smaller than the sum of its proper divisors (1130568800256).

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

454491039744 is a wasteful number, since it uses less digits than its factorization.

454491039744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 454491039744 in words is "four hundred fifty-four billion, four hundred ninety-one million, thirty-nine thousand, seven hundred forty-four".