468351186240 has 224 divisors, whose sum is σ = 1699927536384. Its totient is φ = 107021352960.

The previous prime is 468351186223. The next prime is 468351186257. The reversal of 468351186240 is 42681153864.

It is an interprime number because it is at equal distance from previous prime (468351186223) and next prime (468351186257).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 468351186240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30884260 + ... + 30899420.

It is an arithmetic number, because the mean of its divisors is an integer number (7588962216).

Almost surely, 2^468351186240 is an apocalyptic number.

468351186240 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 468351186240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849963768192).

468351186240 is an abundant number, since it is smaller than the sum of its proper divisors (1231576350144).

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

468351186240 is a wasteful number, since it uses less digits than its factorization.

468351186240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19785 (or 19775 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 468351186240 in words is "four hundred sixty-eight billion, three hundred fifty-one million, one hundred eighty-six thousand, two hundred forty".