10143141792000 has 2304 divisors, whose sum is σ = 41963930910720. Its totient is φ = 2120380416000.

The previous prime is 10143141791921. The next prime is 10143141792023. The reversal of 10143141792000 is 29714134101.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 60737375917 + ... + 60737376083.

It is an arithmetic number, because the mean of its divisors is an integer number (18213511680).

Almost surely, 2^{10143141792000} is an apocalyptic number.

10143141792000 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 10143141792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20981965455360).

10143141792000 is an abundant number, since it is smaller than the sum of its proper divisors (31820789118720).

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

10143141792000 is a wasteful number, since it uses less digits than its factorization.

10143141792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 10143141792000 in words is "ten trillion, one hundred forty-three billion, one hundred forty-one million, seven hundred ninety-two thousand".