451041454080 has 768 divisors, whose sum is σ = 1940283072000. Its totient is φ = 97023688704.

The previous prime is 451041454079. The next prime is 451041454099. The reversal of 451041454080 is 80454140154.

451041454080 is a `hidden beast` number, since 4 + 5 + 104 + 1 + 4 + 540 + 8 + 0 = 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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32894266 + ... + 32907974.

It is an arithmetic number, because the mean of its divisors is an integer number (2526410250).

Almost surely, 2^451041454080 is an apocalyptic number.

451041454080 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 451041454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970141536000).

451041454080 is an abundant number, since it is smaller than the sum of its proper divisors (1489241617920).

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

451041454080 is a wasteful number, since it uses less digits than its factorization.

451041454080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13769 (or 13743 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 451041454080 in words is "four hundred fifty-one billion, forty-one million, four hundred fifty-four thousand, eighty".