451407011072 has 72 divisors (see below), whose sum is σ = 905898706944. Its totient is φ = 224492488704.

The previous prime is 451407011071. The next prime is 451407011113. The reversal of 451407011072 is 270110704154.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451407011071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36565733 + ... + 36578075.

Almost surely, 2^451407011072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451407011072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452949353472).

451407011072 is an abundant number, since it is smaller than the sum of its proper divisors (454491695872).

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

451407011072 is a wasteful number, since it uses less digits than its factorization.

451407011072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13115 (or 13101 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 32.

The spelling of 451407011072 in words is "four hundred fifty-one billion, four hundred seven million, eleven thousand, seventy-two".