102224861101440 has 1280 divisors, whose sum is σ = 460259601753600. Its totient is φ = 21002787717120.

The previous prime is 102224861101399. The next prime is 102224861101457. The reversal of 102224861101440 is 44101168422201.

102224861101440 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 24 + 8 + 611 + 0 + 14 + 4 + 0 = 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 = 102224861101395 and 102224861101404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 355115647 + ... + 355403393.

It is an arithmetic number, because the mean of its divisors is an integer number (359577813870).

Almost surely, 2^{102224861101440} is an apocalyptic number.

102224861101440 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 102224861101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230129800876800).

102224861101440 is an abundant number, since it is smaller than the sum of its proper divisors (358034740652160).

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

102224861101440 is a wasteful number, since it uses less digits than its factorization.

102224861101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287885 (or 287864 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 102224861101440 in words is "one hundred two trillion, two hundred twenty-four billion, eight hundred sixty-one million, one hundred one thousand, four hundred forty".