456843207040 has 128 divisors (see below), whose sum is σ = 1193163229440. Its totient is φ = 165882624000.

The previous prime is 456843207031. The next prime is 456843207049. The reversal of 456843207040 is 40702348654.

It is an interprime number because it is at equal distance from previous prime (456843207031) and next prime (456843207049).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456843207049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4817685 + ... + 4911595.

It is an arithmetic number, because the mean of its divisors is an integer number (9321587730).

Almost surely, 2^456843207040 is an apocalyptic number.

456843207040 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 456843207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596581614720).

456843207040 is an abundant number, since it is smaller than the sum of its proper divisors (736320022400).

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

456843207040 is a wasteful number, since it uses less digits than its factorization.

456843207040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94632 (or 94620 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 43.

The spelling of 456843207040 in words is "four hundred fifty-six billion, eight hundred forty-three million, two hundred seven thousand, forty".