10409650995744 has 1440 divisors, whose sum is σ = 42177572591616. Its totient is φ = 2475619614720.

The previous prime is 10409650995707. The next prime is 10409650995749. The reversal of 10409650995744 is 44759905690401.

10409650995744 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 9 + 6 + 50 + 9 + 9 + 574 + 4 = 666.

It is a super-2 number, since 2×10409650995744² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (10409650995749) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2306590032 + ... + 2306594544.

Almost surely, 2^{10409650995744} is an apocalyptic number.

10409650995744 is a gapful number since it is divisible by the number (14) 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 10409650995744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21088786295808).

10409650995744 is an abundant number, since it is smaller than the sum of its proper divisors (31767921595872).

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

10409650995744 is a wasteful number, since it uses less digits than its factorization.

10409650995744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4700 (or 4676 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 10409650995744 in words is "ten trillion, four hundred nine billion, six hundred fifty million, nine hundred ninety-five thousand, seven hundred forty-four".