11140102696128 has 896 divisors, whose sum is σ = 36818607144960. Its totient is φ = 2903260631040.

The previous prime is 11140102696109. The next prime is 11140102696133. The reversal of 11140102696128 is 82169620104111.

It is a super-3 number, since 3×11140102696128³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 11140102696128.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29086429825 + ... + 29086430207.

Almost surely, 2^{11140102696128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11140102696128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18409303572480).

11140102696128 is an abundant number, since it is smaller than the sum of its proper divisors (25678504448832).

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

11140102696128 is a wasteful number, since it uses less digits than its factorization.

11140102696128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The spelling of 11140102696128 in words is "eleven trillion, one hundred forty billion, one hundred two million, six hundred ninety-six thousand, one hundred twenty-eight".