451630080000 has 1470 divisors, whose sum is σ = 1860014235387. Its totient is φ = 109486080000.

The previous prime is 451630079987. The next prime is 451630080043. The reversal of 451630080000 is 80036154.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 104416874496 + 347213205504 = 323136^2 + 589248^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=475200.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 41057279995 + ... + 41057280005.

Almost surely, 2^451630080000 is an apocalyptic number.

451630080000 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 451630080000

451630080000 is an abundant number, since it is smaller than the sum of its proper divisors (1408384155387).

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

451630080000 is an frugal number, since it uses more digits than its factorization.

451630080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 451630080000 in words is "four hundred fifty-one billion, six hundred thirty million, eighty thousand".