114010505333400 has 192 divisors, whose sum is σ = 381382464960000. Its totient is φ = 28007882703360.

The previous prime is 114010505333371. The next prime is 114010505333423. The reversal of 114010505333400 is 4333505010411.

114010505333400 is digitally balanced in base 3, 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10753824 + ... + 18538223.

It is an arithmetic number, because the mean of its divisors is an integer number (1986367005000).

Almost surely, 2^{114010505333400} is an apocalyptic number.

114010505333400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114010505333400 is an abundant number, since it is smaller than the sum of its proper divisors (267371959626600).

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

114010505333400 is a wasteful number, since it uses less digits than its factorization.

114010505333400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29292578 (or 29292569 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 114010505333400 in words is "one hundred fourteen trillion, ten billion, five hundred five million, three hundred thirty-three thousand, four hundred".