468187050240 has 2592 divisors, whose sum is σ = 2244279623040. Its totient is φ = 92302737408.

The previous prime is 468187050217. The next prime is 468187050241. The reversal of 468187050240 is 42050781864.

468187050240 is a `hidden beast` number, since 4 + 68 + 1 + 87 + 0 + 502 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×468187050240² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (468187050241) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3368252091 + ... + 3368252229.

It is an arithmetic number, because the mean of its divisors is an integer number (865848620).

Almost surely, 2^468187050240 is an apocalyptic number.

468187050240 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 468187050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122139811520).

468187050240 is an abundant number, since it is smaller than the sum of its proper divisors (1776092572800).

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

468187050240 is a wasteful number, since it uses less digits than its factorization.

468187050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 468187050240 in words is "four hundred sixty-eight billion, one hundred eighty-seven million, fifty thousand, two hundred forty".