451011856400 has 360 divisors, whose sum is σ = 1339635514536. Its totient is φ = 144988569600.

The previous prime is 451011856397. The next prime is 451011856403. The reversal of 451011856400 is 4658110154.

It is an interprime number because it is at equal distance from previous prime (451011856397) and next prime (451011856403).

It can be written as a sum of positive squares in 12 ways, for example, as 117764276224 + 333247580176 = 343168^2 + 577276^2 .

It is a super-2 number, since 2×451011856400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (451011856403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 93626792 + ... + 93631608.

Almost surely, 2^451011856400 is an apocalyptic number.

451011856400 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 451011856400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669817757268).

451011856400 is an abundant number, since it is smaller than the sum of its proper divisors (888623658136).

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

451011856400 is a wasteful number, since it uses less digits than its factorization.

451011856400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5147 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 35.

Adding to 451011856400 its reverse (4658110154), we get a palindrome (455669966554).

The spelling of 451011856400 in words is "four hundred fifty-one billion, eleven million, eight hundred fifty-six thousand, four hundred".