468940389120 has 720 divisors, whose sum is σ = 1926278027520. Its totient is φ = 107146063872.

The previous prime is 468940389119. The next prime is 468940389121. The reversal of 468940389120 is 21983049864.

468940389120 is a `hidden beast` number, since 468 + 9 + 40 + 38 + 91 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (468940389119) and next prime (468940389121).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×468940389120³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (468940389121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 176358351 + ... + 176361009.

Almost surely, 2^468940389120 is an apocalyptic number.

468940389120 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 468940389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963139013760).

468940389120 is an abundant number, since it is smaller than the sum of its proper divisors (1457337638400).

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

468940389120 is an frugal number, since it uses more digits than its factorization.

468940389120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2714 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 468940389120 in words is "four hundred sixty-eight billion, nine hundred forty million, three hundred eighty-nine thousand, one hundred twenty".