102132241343440 has 640 divisors, whose sum is σ = 306793145696256. Its totient is φ = 30694422528000.

The previous prime is 102132241343411. The next prime is 102132241343443. The reversal of 102132241343440 is 44343142231201.

It is a junction number, because it is equal to n+sod(n) for n = 102132241343396 and 102132241343405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102132241343443) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38237453305 + ... + 38237455975.

Almost surely, 2^{102132241343440} is an apocalyptic number.

102132241343440 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 102132241343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153396572848128).

102132241343440 is an abundant number, since it is smaller than the sum of its proper divisors (204660904352816).

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

102132241343440 is a wasteful number, since it uses less digits than its factorization.

102132241343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4187 (or 4181 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 102132241343440 its reverse (44343142231201), we get a palindrome (146475383574641).

The spelling of 102132241343440 in words is "one hundred two trillion, one hundred thirty-two billion, two hundred forty-one million, three hundred forty-three thousand, four hundred forty".