11058971440 has 80 divisors (see below), whose sum is σ = 28807754400. Its totient is φ = 3912744960.

The previous prime is 11058971381. The next prime is 11058971453. The reversal of 11058971440 is 4417985011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 11058971393 and 11058971402.

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 15 ways as a sum of consecutive naturals, for example, 137265 + ... + 202384.

It is an arithmetic number, because the mean of its divisors is an integer number (360096930).

Almost surely, 2^11058971440 is an apocalyptic number.

11058971440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11058971440 is an abundant number, since it is smaller than the sum of its proper divisors (17748782960).

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

11058971440 is a wasteful number, since it uses less digits than its factorization.

11058971440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339710 (or 339704 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

The spelling of 11058971440 in words is "eleven billion, fifty-eight million, nine hundred seventy-one thousand, four hundred forty".