4334101200000 has 1152 divisors, whose sum is σ = 18316274558400. Its totient is φ = 969753600000.

The previous prime is 4334101199963. The next prime is 4334101200067. The reversal of 4334101200000 is 21014334.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 514795791 + ... + 514804209.

Almost surely, 2^{4334101200000} is an apocalyptic number.

4334101200000 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 4334101200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9158137279200).

4334101200000 is an abundant number, since it is smaller than the sum of its proper divisors (13982173358400).

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

4334101200000 is a wasteful number, since it uses less digits than its factorization.

4334101200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8488 (or 8453 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 4334101200000 its reverse (21014334), we get a palindrome (4334122214334).

The spelling of 4334101200000 in words is "four trillion, three hundred thirty-four billion, one hundred one million, two hundred thousand".