114204003401400 has 384 divisors, whose sum is σ = 398625457766400. Its totient is φ = 26810344281600.

The previous prime is 114204003401399. The next prime is 114204003401401. The reversal of 114204003401400 is 4104300402411.

It is an interprime number because it is at equal distance from previous prime (114204003401399) and next prime (114204003401401).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114204003401401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23901129 + ... + 28278471.

It is an arithmetic number, because the mean of its divisors is an integer number (1038087129600).

Almost surely, 2^{114204003401400} is an apocalyptic number.

114204003401400 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 114204003401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199312728883200).

114204003401400 is an abundant number, since it is smaller than the sum of its proper divisors (284421454365000).

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

114204003401400 is a wasteful number, since it uses less digits than its factorization.

114204003401400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4377499 (or 4377490 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 114204003401400 its reverse (4104300402411), we get a palindrome (118308303803811).

The spelling of 114204003401400 in words is "one hundred fourteen trillion, two hundred four billion, three million, four hundred one thousand, four hundred".