11053040035440 has 320 divisors, whose sum is σ = 37135823155200. Its totient is φ = 2719478301696.

The previous prime is 11053040035423. The next prime is 11053040035447. The reversal of 11053040035440 is 4453004035011.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11053040035398 and 11053040035407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11053040035447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1669892451 + ... + 1669899069.

It is an arithmetic number, because the mean of its divisors is an integer number (116049447360).

Almost surely, 2^{11053040035440} is an apocalyptic number.

11053040035440 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 11053040035440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18567911577600).

11053040035440 is an abundant number, since it is smaller than the sum of its proper divisors (26082783119760).

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

11053040035440 is a wasteful number, since it uses less digits than its factorization.

11053040035440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9841 (or 9809 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 11053040035440 in words is "eleven trillion, fifty-three billion, forty million, thirty-five thousand, four hundred forty".