102433024320440 has 128 divisors (see below), whose sum is σ = 257735465568000. Its totient is φ = 36314958873600.

The previous prime is 102433024320439. The next prime is 102433024320469. The reversal of 102433024320440 is 44023420334201.

It is a junction number, because it is equal to n+sod(n) for n = 102433024320397 and 102433024320406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24374471 + ... + 28266249.

It is an arithmetic number, because the mean of its divisors is an integer number (2013558324750).

Almost surely, 2^{102433024320440} is an apocalyptic number.

102433024320440 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 102433024320440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128867732784000).

102433024320440 is an abundant number, since it is smaller than the sum of its proper divisors (155302441247560).

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

102433024320440 is a wasteful number, since it uses less digits than its factorization.

102433024320440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3893301 (or 3893297 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 102433024320440 its reverse (44023420334201), we get a palindrome (146456444654641).

The spelling of 102433024320440 in words is "one hundred two trillion, four hundred thirty-three billion, twenty-four million, three hundred twenty thousand, four hundred forty".