10140158689200 has 360 divisors, whose sum is σ = 36657596243840. Its totient is φ = 2592804556800.

The previous prime is 10140158689151. The next prime is 10140158689201. The reversal of 10140158689200 is 298685104101.

It is a happy number.

10140158689200 is a `hidden beast` number, since 1 + 0 + 1 + 40 + 1 + 586 + 8 + 9 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (10140158689201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11747604 + ... + 12581196.

Almost surely, 2^{10140158689200} is an apocalyptic number.

10140158689200 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 10140158689200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18328798121920).

10140158689200 is an abundant number, since it is smaller than the sum of its proper divisors (26517437554640).

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

10140158689200 is a wasteful number, since it uses less digits than its factorization.

10140158689200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833757 (or 833743 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 10140158689200 in words is "ten trillion, one hundred forty billion, one hundred fifty-eight million, six hundred eighty-nine thousand, two hundred".