451126640525400 has 576 divisors, whose sum is σ = 1791542739729600. Its totient is φ = 99538418810880.

The previous prime is 451126640525377. The next prime is 451126640525417. The reversal of 451126640525400 is 4525046621154.

451126640525400 is a `hidden beast` number, since 4 + 5 + 1 + 1 + 2 + 66 + 40 + 5 + 2 + 540 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 1803854764 + ... + 1804104836.

It is an arithmetic number, because the mean of its divisors is an integer number (3110317256475).

Almost surely, 2^{451126640525400} is an apocalyptic number.

451126640525400 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 451126640525400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895771369864800).

451126640525400 is an abundant number, since it is smaller than the sum of its proper divisors (1340416099204200).

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

451126640525400 is a wasteful number, since it uses less digits than its factorization.

451126640525400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255068 (or 255056 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 451126640525400 in words is "four hundred fifty-one trillion, one hundred twenty-six billion, six hundred forty million, five hundred twenty-five thousand, four hundred".