10071444416 has 56 divisors (see below), whose sum is σ = 22101163824. Its totient is φ = 4515194880.

The previous prime is 10071444377. The next prime is 10071444421. The reversal of 10071444416 is 61444417001.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46595 + ... + 149378.

Almost surely, 2^10071444416 is an apocalyptic number.

10071444416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10071444416 is an abundant number, since it is smaller than the sum of its proper divisors (12029719408).

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

10071444416 is a wasteful number, since it uses less digits than its factorization.

10071444416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196069 (or 196059 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 10071444416 in words is "ten billion, seventy-one million, four hundred forty-four thousand, four hundred sixteen".