456020611242 has 64 divisors (see below), whose sum is σ = 1068031303680. Its totient is φ = 127087579584.

The previous prime is 456020611237. The next prime is 456020611247. The reversal of 456020611242 is 242116020654.

It is an interprime number because it is at equal distance from previous prime (456020611237) and next prime (456020611247).

It is not an unprimeable number, because it can be changed into a prime (456020611247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1151559 + ... + 1496037.

It is an arithmetic number, because the mean of its divisors is an integer number (16687989120).

Almost surely, 2^456020611242 is an apocalyptic number.

456020611242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 456020611242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534015651840).

456020611242 is an abundant number, since it is smaller than the sum of its proper divisors (612010692438).

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

456020611242 is a wasteful number, since it uses less digits than its factorization.

456020611242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345267.

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 456020611242 its reverse (242116020654), we get a palindrome (698136631896).

The spelling of 456020611242 in words is "four hundred fifty-six billion, twenty million, six hundred eleven thousand, two hundred forty-two".