2235400144000 has 128 divisors (see below), whose sum is σ = 5648876953200. Its totient is φ = 879501312000.

The previous prime is 2235400143997. The next prime is 2235400144037. The reversal of 2235400144000 is 4410045322.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 113763194944 + 2121636949056 = 337288^2 + 1456584^2 .

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169185 + ... + 2121184.

Almost surely, 2^{2235400144000} is an apocalyptic number.

2235400144000 is a gapful number since it is divisible by the number (20) 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 2235400144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2824438476600).

2235400144000 is an abundant number, since it is smaller than the sum of its proper divisors (3413476809200).

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

2235400144000 is an equidigital number, since it uses as much as digits as its factorization.

2235400144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290459 (or 2290437 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 2235400144000 its reverse (4410045322), we get a palindrome (2239810189322).

The spelling of 2235400144000 in words is "two trillion, two hundred thirty-five billion, four hundred million, one hundred forty-four thousand".