451023114230400 has 384 divisors, whose sum is σ = 1487386684016640. Its totient is φ = 120124809216000.

The previous prime is 451023114230371. The next prime is 451023114230449. The reversal of 451023114230400 is 4032411320154.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40585175244 + ... + 40585186356.

It is an arithmetic number, because the mean of its divisors is an integer number (3873402822960).

Almost surely, 2^{451023114230400} is an apocalyptic number.

451023114230400 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 451023114230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743693342008320).

451023114230400 is an abundant number, since it is smaller than the sum of its proper divisors (1036363569786240).

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

451023114230400 is a wasteful number, since it uses less digits than its factorization.

451023114230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15964 (or 15947 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 451023114230400 its reverse (4032411320154), we get a palindrome (455055525550554).

The spelling of 451023114230400 in words is "four hundred fifty-one trillion, twenty-three billion, one hundred fourteen million, two hundred thirty thousand, four hundred".