451134605140000 has 240 divisors, whose sum is σ = 1137656014742016. Its totient is φ = 175962585600000.

The previous prime is 451134605139979. The next prime is 451134605140003. The reversal of 451134605140000 is 41506431154.

It is not an unprimeable number, because it can be changed into a prime (451134605140003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 253854520 + ... + 255625480.

Almost surely, 2^{451134605140000} is an apocalyptic number.

451134605140000 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 451134605140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568828007371008).

451134605140000 is an abundant number, since it is smaller than the sum of its proper divisors (686521409602016).

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

451134605140000 is a wasteful number, since it uses less digits than its factorization.

451134605140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771309 (or 1771286 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 451134605140000 in words is "four hundred fifty-one trillion, one hundred thirty-four billion, six hundred five million, one hundred forty thousand".