3334441213400 has 144 divisors (see below), whose sum is σ = 8566052987520. Its totient is φ = 1206174112000.

The previous prime is 3334441213399. The next prime is 3334441213417. The reversal of 3334441213400 is 43121444333.

It is a super-2 number, since 2×3334441213400² (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 35 ways as a sum of consecutive naturals, for example, 4261502 + ... + 4982898.

It is an arithmetic number, because the mean of its divisors is an integer number (59486479080).

Almost surely, 2^{3334441213400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3334441213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4283026493760).

3334441213400 is an abundant number, since it is smaller than the sum of its proper divisors (5231611774120).

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

3334441213400 is a wasteful number, since it uses less digits than its factorization.

3334441213400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721626 (or 721606 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 3334441213400 its reverse (43121444333), we get a palindrome (3377562657733).

The spelling of 3334441213400 in words is "three trillion, three hundred thirty-four billion, four hundred forty-one million, two hundred thirteen thousand, four hundred".