10141621936992 has 384 divisors, whose sum is σ = 36904553118720. Its totient is φ = 2638072074240.

The previous prime is 10141621936907. The next prime is 10141621937021. The reversal of 10141621936992 is 29963912614101.

10141621936992 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 1 + 621 + 9 + 3 + 6 + 9 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4856067 + ... + 6623037.

It is an arithmetic number, because the mean of its divisors is an integer number (96105607080).

Almost surely, 2^{10141621936992} is an apocalyptic number.

10141621936992 is a gapful number since it is divisible by the number (12) 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 10141621936992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18452276559360).

10141621936992 is an abundant number, since it is smaller than the sum of its proper divisors (26762931181728).

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

10141621936992 is a wasteful number, since it uses less digits than its factorization.

10141621936992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767083 (or 1767069 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 10141621936992 in words is "ten trillion, one hundred forty-one billion, six hundred twenty-one million, nine hundred thirty-six thousand, nine hundred ninety-two".