10140842611200 has 1440 divisors, whose sum is σ = 41991754641408. Its totient is φ = 2110685184000.

The previous prime is 10140842611187. The next prime is 10140842611259. The reversal of 10140842611200 is 211624804101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2408177095 + ... + 2408181305.

Almost surely, 2^{10140842611200} is an apocalyptic number.

10140842611200 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 10140842611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20995877320704).

10140842611200 is an abundant number, since it is smaller than the sum of its proper divisors (31850912030208).

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

10140842611200 is a wasteful number, since it uses less digits than its factorization.

10140842611200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4314 (or 4276 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 10140842611200 in words is "ten trillion, one hundred forty billion, eight hundred forty-two million, six hundred eleven thousand, two hundred".