11012677440 has 224 divisors, whose sum is σ = 35785373184. Its totient is φ = 2868602880.

The previous prime is 11012677439. The next prime is 11012677477. The reversal of 11012677440 is 4477621011.

It is a congruent number.

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, 8425267 + ... + 8426573.

Almost surely, 2^11012677440 is an apocalyptic number.

11012677440 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 11012677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17892686592).

11012677440 is an abundant number, since it is smaller than the sum of its proper divisors (24772695744).

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

11012677440 is a wasteful number, since it uses less digits than its factorization.

11012677440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 11012677440 in words is "eleven billion, twelve million, six hundred seventy-seven thousand, four hundred forty".