10240244191800 has 2688 divisors, whose sum is σ = 45340983705600. Its totient is φ = 2096160768000.

The previous prime is 10240244191787. The next prime is 10240244191813. The reversal of 10240244191800 is 819144204201.

10240244191800 is a `hidden beast` number, since 1 + 0 + 2 + 40 + 24 + 419 + 180 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10240244191787) and next prime (10240244191813).

It is a super-2 number, since 2×10240244191800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 42490639680 + ... + 42490639920.

Almost surely, 2^{10240244191800} is an apocalyptic number.

10240244191800 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 10240244191800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22670491852800).

10240244191800 is an abundant number, since it is smaller than the sum of its proper divisors (35100739513800).

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

10240244191800 is a wasteful number, since it uses less digits than its factorization.

10240244191800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10240244191800 in words is "ten trillion, two hundred forty billion, two hundred forty-four million, one hundred ninety-one thousand, eight hundred".