456612123240 has 1024 divisors, whose sum is σ = 1948665600000. Its totient is φ = 94469566464.

The previous prime is 456612123197. The next prime is 456612123251. The reversal of 456612123240 is 42321216654.

456612123240 is a `hidden beast` number, since 4 + 5 + 6 + 612 + 1 + 2 + 32 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 456612123195 and 456612123204.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 255232266 + ... + 255234054.

It is an arithmetic number, because the mean of its divisors is an integer number (1902993750).

Almost surely, 2^456612123240 is an apocalyptic number.

456612123240 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 456612123240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974332800000).

456612123240 is an abundant number, since it is smaller than the sum of its proper divisors (1492053476760).

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

456612123240 is a wasteful number, since it uses less digits than its factorization.

456612123240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 456612123240 its reverse (42321216654), we get a palindrome (498933339894).

The spelling of 456612123240 in words is "four hundred fifty-six billion, six hundred twelve million, one hundred twenty-three thousand, two hundred forty".