10143864795240 has 256 divisors, whose sum is σ = 36938115072000. Its totient is φ = 2455696477440.

The previous prime is 10143864795209. The next prime is 10143864795241. The reversal of 10143864795240 is 4259746834101.

10143864795240 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 3 + 86 + 479 + 52 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10143864795241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7947937 + ... + 9135503.

It is an arithmetic number, because the mean of its divisors is an integer number (144289512000).

It is a 1-persistent number, because it is pandigital, but 2⋅10143864795240 = 20287729590480 is not.

Almost surely, 2^{10143864795240} is an apocalyptic number.

10143864795240 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 10143864795240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18469057536000).

10143864795240 is an abundant number, since it is smaller than the sum of its proper divisors (26794250276760).

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

10143864795240 is a wasteful number, since it uses less digits than its factorization.

10143864795240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188317 (or 1188307 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 10143864795240 in words is "ten trillion, one hundred forty-three billion, eight hundred sixty-four million, seven hundred ninety-five thousand, two hundred forty".