3400142311400 has 144 divisors (see below), whose sum is σ = 8234724478500. Its totient is φ = 1305556725760.

The previous prime is 3400142311337. The next prime is 3400142311409. The reversal of 3400142311400 is 41132410043.

3400142311400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 18 ways, for example, as 326312852644 + 3073829458756 = 571238^2 + 1753234^2 .

It is not an unprimeable number, because it can be changed into a prime (3400142311409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29040176 + ... + 29157024.

Almost surely, 2^{3400142311400} 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 3400142311400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4117362239250).

3400142311400 is an abundant number, since it is smaller than the sum of its proper divisors (4834582167100).

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

3400142311400 is a wasteful number, since it uses less digits than its factorization.

3400142311400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117096 (or 117058 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 3400142311400 its reverse (41132410043), we get a palindrome (3441274721443).

The spelling of 3400142311400 in words is "three trillion, four hundred billion, one hundred forty-two million, three hundred eleven thousand, four hundred".