451127993400 has 1152 divisors, whose sum is σ = 1918677196800. Its totient is φ = 96214003200.

The previous prime is 451127993389. The next prime is 451127993483. The reversal of 451127993400 is 4399721154.

451127993400 is a `hidden beast` number, since 4 + 511 + 2 + 7 + 9 + 93 + 40 + 0 = 666.

It is a super-2 number, since 2×451127993400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 458929309 + ... + 458930291.

It is an arithmetic number, because the mean of its divisors is an integer number (1665518400).

Almost surely, 2^451127993400 is an apocalyptic number.

451127993400 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 451127993400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959338598400).

451127993400 is an abundant number, since it is smaller than the sum of its proper divisors (1467549203400).

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

451127993400 is a wasteful number, since it uses less digits than its factorization.

451127993400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 451127993400 in words is "four hundred fifty-one billion, one hundred twenty-seven million, nine hundred ninety-three thousand, four hundred".