114240101340400 has 720 divisors, whose sum is σ = 347211972502560. Its totient is φ = 35871665356800.

The previous prime is 114240101340347. The next prime is 114240101340473. The reversal of 114240101340400 is 4043101042411.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3854109580 + ... + 3854139220.

It is an arithmetic number, because the mean of its divisors is an integer number (482238850698).

Almost surely, 2^{114240101340400} is an apocalyptic number.

114240101340400 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 114240101340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173605986251280).

114240101340400 is an abundant number, since it is smaller than the sum of its proper divisors (232971871162160).

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

114240101340400 is a wasteful number, since it uses less digits than its factorization.

114240101340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30002 (or 29984 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 114240101340400 its reverse (4043101042411), we get a palindrome (118283202382811).

The spelling of 114240101340400 in words is "one hundred fourteen trillion, two hundred forty billion, one hundred one million, three hundred forty thousand, four hundred".