454142080000 has 880 divisors, whose sum is σ = 1408908504960. Its totient is φ = 142737408000.

The previous prime is 454142079997. The next prime is 454142080039. The reversal of 454142080000 is 80241454.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5102719956 + ... + 5102720044.

It is an arithmetic number, because the mean of its divisors is an integer number (1601032392).

Almost surely, 2^454142080000 is an apocalyptic number.

454142080000 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 454142080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704454252480).

454142080000 is an abundant number, since it is smaller than the sum of its proper divisors (954766424960).

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

454142080000 is an equidigital number, since it uses as much as digits as its factorization.

454142080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The spelling of 454142080000 in words is "four hundred fifty-four billion, one hundred forty-two million, eighty thousand".