3442121412400 has 180 divisors, whose sum is σ = 9093668976616. Its totient is φ = 1251152179200.

The previous prime is 3442121412371. The next prime is 3442121412413. The reversal of 3442121412400 is 42141212443.

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, 125487487 + ... + 125514913.

Almost surely, 2^{3442121412400} 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 3442121412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4546834488308).

3442121412400 is an abundant number, since it is smaller than the sum of its proper divisors (5651547564216).

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

3442121412400 is a wasteful number, since it uses less digits than its factorization.

3442121412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30060 (or 30038 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 3442121412400 its reverse (42141212443), we get a palindrome (3484262624843).

The spelling of 3442121412400 in words is "three trillion, four hundred forty-two billion, one hundred twenty-one million, four hundred twelve thousand, four hundred".