114401004120 has 192 divisors, whose sum is σ = 421477711200. Its totient is φ = 26678108160.

The previous prime is 114401004079. The next prime is 114401004121. The reversal of 114401004120 is 21400104411.

114401004120 is a `hidden beast` number, since 1 + 1 + 440 + 100 + 4 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 114401004093 and 114401004102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114401004121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 554361 + ... + 732200.

Almost surely, 2^114401004120 is an apocalyptic number.

114401004120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114401004120 is an abundant number, since it is smaller than the sum of its proper divisors (307076707080).

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

114401004120 is a wasteful number, since it uses less digits than its factorization.

114401004120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286610 (or 1286603 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 114401004120 its reverse (21400104411), we get a palindrome (135801108531).

The spelling of 114401004120 in words is "one hundred fourteen billion, four hundred one million, four thousand, one hundred twenty".