451062267040 has 384 divisors, whose sum is σ = 1357146524160. Its totient is φ = 137601024000.

The previous prime is 451062267031. The next prime is 451062267077. The reversal of 451062267040 is 40762260154.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110742444 + ... + 110746516.

It is an arithmetic number, because the mean of its divisors is an integer number (3534235740).

Almost surely, 2^451062267040 is an apocalyptic number.

451062267040 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 451062267040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678573262080).

451062267040 is an abundant number, since it is smaller than the sum of its proper divisors (906084257120).

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

451062267040 is a wasteful number, since it uses less digits than its factorization.

451062267040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296 (or 4288 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 451062267040 in words is "four hundred fifty-one billion, sixty-two million, two hundred sixty-seven thousand, forty".