451140734352 has 320 divisors, whose sum is σ = 1541687040000. Its totient is φ = 110057840640.

The previous prime is 451140734321. The next prime is 451140734371. The reversal of 451140734352 is 253437041154.

It is a self number, because there is not a number n which added to its sum of digits gives 451140734352.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31345974 + ... + 31360362.

It is an arithmetic number, because the mean of its divisors is an integer number (4817772000).

Almost surely, 2^451140734352 is an apocalyptic number.

451140734352 is a gapful number since it is divisible by the number (42) 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 451140734352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770843520000).

451140734352 is an abundant number, since it is smaller than the sum of its proper divisors (1090546305648).

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

451140734352 is a wasteful number, since it uses less digits than its factorization.

451140734352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14934 (or 14928 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 451140734352 in words is "four hundred fifty-one billion, one hundred forty million, seven hundred thirty-four thousand, three hundred fifty-two".