11013287040 has 384 divisors, whose sum is σ = 45377107200. Its totient is φ = 2517129216.

The previous prime is 11013287039. The next prime is 11013287069. The reversal of 11013287040 is 4078231011.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 11013286995 and 11013287013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 840217 + ... + 853223.

It is an arithmetic number, because the mean of its divisors is an integer number (118169550).

Almost surely, 2^11013287040 is an apocalyptic number.

11013287040 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 11013287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22688553600).

11013287040 is an abundant number, since it is smaller than the sum of its proper divisors (34363820160).

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

11013287040 is a wasteful number, since it uses less digits than its factorization.

11013287040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13049 (or 13024 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 11013287040 in words is "eleven billion, thirteen million, two hundred eighty-seven thousand, forty".