102263869440 has 416 divisors, whose sum is σ = 368319782400. Its totient is φ = 26913669120.

The previous prime is 102263869429. The next prime is 102263869447. The reversal of 102263869440 is 44968362201.

102263869440 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 638 + 6 + 9 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102263869447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43682670 + ... + 43685010.

Almost surely, 2^102263869440 is an apocalyptic number.

102263869440 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 102263869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184159891200).

102263869440 is an abundant number, since it is smaller than the sum of its proper divisors (266055912960).

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

102263869440 is an equidigital number, since it uses as much as digits as its factorization.

102263869440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 102263869440 in words is "one hundred two billion, two hundred sixty-three million, eight hundred sixty-nine thousand, four hundred forty".