3401133222400 has 120 divisors (see below), whose sum is σ = 8477037122400. Its totient is φ = 1352306012160.

The previous prime is 3401133222359. The next prime is 3401133222413. The reversal of 3401133222400 is 42223311043.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1342051 + ... + 2933149.

It is an arithmetic number, because the mean of its divisors is an integer number (70641976020).

Almost surely, 2^{3401133222400} 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 3401133222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4238518561200).

3401133222400 is an abundant number, since it is smaller than the sum of its proper divisors (5075903900000).

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

3401133222400 is a wasteful number, since it uses less digits than its factorization.

3401133222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591294 (or 1591273 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 3401133222400 its reverse (42223311043), we get a palindrome (3443356533443).

The spelling of 3401133222400 in words is "three trillion, four hundred one billion, one hundred thirty-three million, two hundred twenty-two thousand, four hundred".