11129711040 has 1008 divisors, whose sum is σ = 48568246272. Its totient is φ = 2414168064.

The previous prime is 11129711039. The next prime is 11129711051. The reversal of 11129711040 is 4011792111.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11129710995 and 11129711013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 87635457 + ... + 87635583.

It is an arithmetic number, because the mean of its divisors is an integer number (48182784).

Almost surely, 2^11129711040 is an apocalyptic number.

11129711040 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 11129711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24284123136).

11129711040 is an abundant number, since it is smaller than the sum of its proper divisors (37438535232).

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

11129711040 is a wasteful number, since it uses less digits than its factorization.

11129711040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The spelling of 11129711040 in words is "eleven billion, one hundred twenty-nine million, seven hundred eleven thousand, forty".