468259122240 has 1344 divisors, whose sum is σ = 2100363632640. Its totient is φ = 92983541760.

The previous prime is 468259122239. The next prime is 468259122251. The reversal of 468259122240 is 42221952864.

468259122240 is a `hidden beast` number, since 468 + 25 + 9 + 122 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 1349449747 + ... + 1349450093.

It is an arithmetic number, because the mean of its divisors is an integer number (1562770560).

Almost surely, 2^468259122240 is an apocalyptic number.

468259122240 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 468259122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050181816320).

468259122240 is an abundant number, since it is smaller than the sum of its proper divisors (1632104510400).

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

468259122240 is a wasteful number, since it uses less digits than its factorization.

468259122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 468259122240 in words is "four hundred sixty-eight billion, two hundred fifty-nine million, one hundred twenty-two thousand, two hundred forty".