4349116800000 has 3168 divisors, whose sum is σ = 20116628453376. Its totient is φ = 915701760000.

The previous prime is 4349116799977. The next prime is 4349116800029. The reversal of 4349116800000 is 86119434.

4349116800000 is a `hidden beast` number, since 4 + 3 + 491 + 168 + 0 + 0 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 92534399977 + ... + 92534400023.

Almost surely, 2^{4349116800000} is an apocalyptic number.

4349116800000 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 4349116800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10058314226688).

4349116800000 is an abundant number, since it is smaller than the sum of its proper divisors (15767511653376).

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

4349116800000 is an frugal number, since it uses more digits than its factorization.

4349116800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 4349116800000 in words is "four trillion, three hundred forty-nine billion, one hundred sixteen million, eight hundred thousand".