103144242043440 has 400 divisors, whose sum is σ = 385827879685248. Its totient is φ = 25386976806912.

The previous prime is 103144242043439. The next prime is 103144242043487. The reversal of 103144242043440 is 44340242441301.

103144242043440 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 4 + 4 + 2 + 4 + 204 + 3 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 103144242043395 and 103144242043404.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1005184617 + ... + 1005287223.

Almost surely, 2^{103144242043440} is an apocalyptic number.

103144242043440 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 103144242043440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192913939842624).

103144242043440 is an abundant number, since it is smaller than the sum of its proper divisors (282683637641808).

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

103144242043440 is a wasteful number, since it uses less digits than its factorization.

103144242043440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114578 (or 114563 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 103144242043440 its reverse (44340242441301), we get a palindrome (147484484484741).

The spelling of 103144242043440 in words is "one hundred three trillion, one hundred forty-four billion, two hundred forty-two million, forty-three thousand, four hundred forty".