103340414114400 has 288 divisors, whose sum is σ = 344096096440320. Its totient is φ = 26926663864320.

The previous prime is 103340414114393. The next prime is 103340414114407. The reversal of 103340414114400 is 4411414043301.

103340414114400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (103340414114393) and next prime (103340414114407).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103340414114407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67714956 + ... + 69224244.

It is an arithmetic number, because the mean of its divisors is an integer number (1194778112640).

Almost surely, 2^{103340414114400} is an apocalyptic number.

103340414114400 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 103340414114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172048048220160).

103340414114400 is an abundant number, since it is smaller than the sum of its proper divisors (240755682325920).

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

103340414114400 is a wasteful number, since it uses less digits than its factorization.

103340414114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509966 (or 1509953 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 103340414114400 its reverse (4411414043301), we get a palindrome (107751828157701).

The spelling of 103340414114400 in words is "one hundred three trillion, three hundred forty billion, four hundred fourteen million, one hundred fourteen thousand, four hundred".