10142643329280 has 3456 divisors, whose sum is σ = 49369330483200. Its totient is φ = 1929542860800.

The previous prime is 10142643329239. The next prime is 10142643329303. The reversal of 10142643329280 is 8292334624101.

10142643329280 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 2 + 6 + 43 + 329 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14106596761 + ... + 14106597479.

It is an arithmetic number, because the mean of its divisors is an integer number (14285107200).

Almost surely, 2^{10142643329280} is an apocalyptic number.

10142643329280 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 10142643329280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24684665241600).

10142643329280 is an abundant number, since it is smaller than the sum of its proper divisors (39226687153920).

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

10142643329280 is a wasteful number, since it uses less digits than its factorization.

10142643329280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 10142643329280 in words is "ten trillion, one hundred forty-two billion, six hundred forty-three million, three hundred twenty-nine thousand, two hundred eighty".