114041001400 has 96 divisors (see below), whose sum is σ = 280970387280. Its totient is φ = 42898176000.

The previous prime is 114041001391. The next prime is 114041001413. The reversal of 114041001400 is 4100140411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4376410 + ... + 4402390.

Almost surely, 2^114041001400 is an apocalyptic number.

114041001400 is a gapful number since it is divisible by the number (10) 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 114041001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140485193640).

114041001400 is an abundant number, since it is smaller than the sum of its proper divisors (166929385880).

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

114041001400 is a wasteful number, since it uses less digits than its factorization.

114041001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27305 (or 27296 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 114041001400 its reverse (4100140411), we get a palindrome (118141141811).

The spelling of 114041001400 in words is "one hundred fourteen billion, forty-one million, one thousand, four hundred".