4341980112400 has 240 divisors, whose sum is σ = 12061476988288. Its totient is φ = 1471343616000.

The previous prime is 4341980112397. The next prime is 4341980112419. The reversal of 4341980112400 is 42110891434.

4341980112400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4341980112400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82582120 + ... + 82634680.

Almost surely, 2^{4341980112400} is an apocalyptic number.

4341980112400 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 4341980112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6030738494144).

4341980112400 is an abundant number, since it is smaller than the sum of its proper divisors (7719496875888).

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

4341980112400 is a wasteful number, since it uses less digits than its factorization.

4341980112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52930 (or 52919 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 4341980112400 in words is "four trillion, three hundred forty-one billion, nine hundred eighty million, one hundred twelve thousand, four hundred".