102560408440 has 192 divisors, whose sum is σ = 271933912800. Its totient is φ = 34708488192.

The previous prime is 102560408437. The next prime is 102560408441. The reversal of 102560408440 is 44804065201.

It is a junction number, because it is equal to n+sod(n) for n = 102560408396 and 102560408405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102560408441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51823371 + ... + 51825349.

Almost surely, 2^102560408440 is an apocalyptic number.

102560408440 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 102560408440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135966956400).

102560408440 is an abundant number, since it is smaller than the sum of its proper divisors (169373504360).

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

102560408440 is a wasteful number, since it uses less digits than its factorization.

102560408440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The spelling of 102560408440 in words is "one hundred two billion, five hundred sixty million, four hundred eight thousand, four hundred forty".