10944417792 has 416 divisors, whose sum is σ = 37366686720. Its totient is φ = 2766274560.

The previous prime is 10944417787. The next prime is 10944417817. The reversal of 10944417792 is 29771444901.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40685434 + ... + 40685702.

Almost surely, 2^10944417792 is an apocalyptic number.

10944417792 is a gapful number since it is divisible by the number (12) 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 10944417792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18683343360).

10944417792 is an abundant number, since it is smaller than the sum of its proper divisors (26422268928).

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

10944417792 is a wasteful number, since it uses less digits than its factorization.

10944417792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 10944417792 in words is "ten billion, nine hundred forty-four million, four hundred seventeen thousand, seven hundred ninety-two".