103828651914240 has 528 divisors, whose sum is σ = 392593964929920. Its totient is φ = 25162590781440.

The previous prime is 103828651914193. The next prime is 103828651914331. The reversal of 103828651914240 is 42419156828301.

103828651914240 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 2 + 86 + 51 + 91 + 424 + 0 = 666.

103828651914240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (528).

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, 1682303862 + ... + 1682365578.

Almost surely, 2^{103828651914240} is an apocalyptic number.

103828651914240 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 103828651914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196296982464960).

103828651914240 is an abundant number, since it is smaller than the sum of its proper divisors (288765313015680).

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

103828651914240 is a wasteful number, since it uses less digits than its factorization.

103828651914240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65078 (or 65057 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 103828651914240 in words is "one hundred three trillion, eight hundred twenty-eight billion, six hundred fifty-one million, nine hundred fourteen thousand, two hundred forty".