468344615040 has 384 divisors, whose sum is σ = 1632201405120. Its totient is φ = 123742494720.

The previous prime is 468344615009. The next prime is 468344615041. The reversal of 468344615040 is 40516443864.

468344615040 is a `hidden beast` number, since 4 + 6 + 83 + 4 + 4 + 61 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (468344615041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 516366267 + ... + 516367173.

Almost surely, 2^468344615040 is an apocalyptic number.

468344615040 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 468344615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816100702560).

468344615040 is an abundant number, since it is smaller than the sum of its proper divisors (1163856790080).

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

468344615040 is a wasteful number, since it uses less digits than its factorization.

468344615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 468344615040 in words is "four hundred sixty-eight billion, three hundred forty-four million, six hundred fifteen thousand, forty".