451156507563440 has 120 divisors (see below), whose sum is σ = 1220590021591440. Its totient is φ = 154632054388224.

The previous prime is 451156507563403. The next prime is 451156507563449. The reversal of 451156507563440 is 44365705651154.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (451156507563449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6580055 + ... + 30750774.

It is an arithmetic number, because the mean of its divisors is an integer number (10171583513262).

Almost surely, 2^{451156507563440} is an apocalyptic number.

451156507563440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

451156507563440 is an abundant number, since it is smaller than the sum of its proper divisors (769433514028000).

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

451156507563440 is a wasteful number, since it uses less digits than its factorization.

451156507563440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37333939 (or 37333926 counting only the distinct ones).

The product of its (nonzero) digits is 30240000, while the sum is 56.

The spelling of 451156507563440 in words is "four hundred fifty-one trillion, one hundred fifty-six billion, five hundred seven million, five hundred sixty-three thousand, four hundred forty".