10141788384 has 960 divisors, whose sum is σ = 40434831360. Its totient is φ = 2418647040.

The previous prime is 10141788373. The next prime is 10141788409. The reversal of 10141788384 is 48388714101.

It is a super-3 number, since 3×10141788384³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 138928572 + ... + 138928644.

It is an arithmetic number, because the mean of its divisors is an integer number (42119616).

Almost surely, 2^10141788384 is an apocalyptic number.

10141788384 is a gapful number since it is divisible by the number (14) 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 10141788384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20217415680).

10141788384 is an abundant number, since it is smaller than the sum of its proper divisors (30293042976).

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

10141788384 is a wasteful number, since it uses less digits than its factorization.

10141788384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 10141788384 in words is "ten billion, one hundred forty-one million, seven hundred eighty-eight thousand, three hundred eighty-four".