3402101401400 has 192 divisors, whose sum is σ = 8780917985280. Its totient is φ = 1217938982400.

The previous prime is 3402101401343. The next prime is 3402101401429. The reversal of 3402101401400 is 41041012043.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 12945305 + ... + 13205495.

It is an arithmetic number, because the mean of its divisors is an integer number (45733947840).

Almost surely, 2^{3402101401400} 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 3402101401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390458992640).

3402101401400 is an abundant number, since it is smaller than the sum of its proper divisors (5378816583880).

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

3402101401400 is a wasteful number, since it uses less digits than its factorization.

3402101401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260374 (or 260365 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 3402101401400 its reverse (41041012043), we get a palindrome (3443142413443).

The spelling of 3402101401400 in words is "three trillion, four hundred two billion, one hundred one million, four hundred one thousand, four hundred".