3144400001400 has 288 divisors, whose sum is σ = 11349812070000. Its totient is φ = 718040494080.

The previous prime is 3144400001357. The next prime is 3144400001513. The reversal of 3144400001400 is 41000044413.

3144400001400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31378576 + ... + 31478624.

Almost surely, 2^{3144400001400} is an apocalyptic number.

3144400001400 is a gapful number since it is divisible by the number (30) 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 3144400001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5674906035000).

3144400001400 is an abundant number, since it is smaller than the sum of its proper divisors (8205412068600).

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

3144400001400 is a wasteful number, since it uses less digits than its factorization.

3144400001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101151 (or 101135 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 3144400001400 its reverse (41000044413), we get a palindrome (3185400045813).

The spelling of 3144400001400 in words is "three trillion, one hundred forty-four billion, four hundred million, one thousand, four hundred".