451964341002240 has 5376 divisors, whose sum is σ = 1942244168417280. Its totient is φ = 99755753472000.

The previous prime is 451964341002191. The next prime is 451964341002257. The reversal of 451964341002240 is 42200143469154.

451964341002240 is a `hidden beast` number, since 4 + 5 + 1 + 9 + 6 + 4 + 3 + 410 + 0 + 224 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7409251491810 + ... + 7409251491870.

It is an arithmetic number, because the mean of its divisors is an integer number (361280537280).

Almost surely, 2^{451964341002240} is an apocalyptic number.

451964341002240 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 451964341002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971122084208640).

451964341002240 is an abundant number, since it is smaller than the sum of its proper divisors (1490279827415040).

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

451964341002240 is a wasteful number, since it uses less digits than its factorization.

451964341002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 451964341002240 in words is "four hundred fifty-one trillion, nine hundred sixty-four billion, three hundred forty-one million, two thousand, two hundred forty".