10124140421440 has 224 divisors, whose sum is σ = 24794157168000. Its totient is φ = 3935426052096.

The previous prime is 10124140421393. The next prime is 10124140421491. The reversal of 10124140421440 is 4412404142101.

It is a junction number, because it is equal to n+sod(n) for n = 10124140421399 and 10124140421408.

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, 2423780632 + ... + 2423784808.

Almost surely, 2^{10124140421440} is an apocalyptic number.

10124140421440 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 10124140421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12397078584000).

10124140421440 is an abundant number, since it is smaller than the sum of its proper divisors (14670016746560).

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

10124140421440 is a wasteful number, since it uses less digits than its factorization.

10124140421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5089 (or 5079 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 10124140421440 its reverse (4412404142101), we get a palindrome (14536544563541).

The spelling of 10124140421440 in words is "ten trillion, one hundred twenty-four billion, one hundred forty million, four hundred twenty-one thousand, four hundred forty".