10001043234240 has 448 divisors, whose sum is σ = 33189998745600. Its totient is φ = 2549510406144.

The previous prime is 10001043234239. The next prime is 10001043234251. The reversal of 10001043234240 is 4243234010001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10001043234240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 417934596 + ... + 417958524.

Almost surely, 2^{10001043234240} is an apocalyptic number.

10001043234240 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 10001043234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16594999372800).

10001043234240 is an abundant number, since it is smaller than the sum of its proper divisors (23188955511360).

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

10001043234240 is a wasteful number, since it uses less digits than its factorization.

10001043234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24212 (or 24202 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10001043234240 its reverse (4243234010001), we get a palindrome (14244277244241).

The spelling of 10001043234240 in words is "ten trillion, one billion, forty-three million, two hundred thirty-four thousand, two hundred forty".