4320412096000 has 1280 divisors, whose sum is σ = 15319467491328. Its totient is φ = 1169620992000.

The previous prime is 4320412095997. The next prime is 4320412096037. The reversal of 4320412096000 is 6902140234.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×4320412096000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1089086017 + ... + 1089089983.

Almost surely, 2^{4320412096000} is an apocalyptic number.

4320412096000 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 4320412096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7659733745664).

4320412096000 is an abundant number, since it is smaller than the sum of its proper divisors (10999055395328).

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

4320412096000 is a wasteful number, since it uses less digits than its factorization.

4320412096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4048 (or 4022 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 4320412096000 in words is "four trillion, three hundred twenty billion, four hundred twelve million, ninety-six thousand".