10109269074240 has 2240 divisors, whose sum is σ = 44754408230400. Its totient is φ = 2157632225280.

The previous prime is 10109269074209. The next prime is 10109269074259. The reversal of 10109269074240 is 4247096290101.

10109269074240 is a `hidden beast` number, since 10 + 109 + 26 + 90 + 7 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 31890438562 + ... + 31890438878.

Almost surely, 2^{10109269074240} is an apocalyptic number.

10109269074240 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 10109269074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22377204115200).

10109269074240 is an abundant number, since it is smaller than the sum of its proper divisors (34645139156160).

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

10109269074240 is a wasteful number, since it uses less digits than its factorization.

10109269074240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10109269074240 in words is "ten trillion, one hundred nine billion, two hundred sixty-nine million, seventy-four thousand, two hundred forty".