451045401350280 has 256 divisors, whose sum is σ = 1494044347541760. Its totient is φ = 108022775808000.

The previous prime is 451045401350227. The next prime is 451045401350281. The reversal of 451045401350280 is 82053104540154.

It is not an unprimeable number, because it can be changed into a prime (451045401350281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68156080 + ... + 74480480.

It is an arithmetic number, because the mean of its divisors is an integer number (5836110732585).

Almost surely, 2^{451045401350280} is an apocalyptic number.

451045401350280 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 451045401350280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747022173770880).

451045401350280 is an abundant number, since it is smaller than the sum of its proper divisors (1042998946191480).

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

451045401350280 is a wasteful number, since it uses less digits than its factorization.

451045401350280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6325080 (or 6325076 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

The spelling of 451045401350280 in words is "four hundred fifty-one trillion, forty-five billion, four hundred one million, three hundred fifty thousand, two hundred eighty".