11071434240 has 320 divisors, whose sum is σ = 40603115520. Its totient is φ = 2856591360.

The previous prime is 11071434217. The next prime is 11071434277. The reversal of 11071434240 is 4243417011.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×11071434240² (a number of 21 digits) contains 22 as substring.

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

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, 2140137 + ... + 2145303.

It is an arithmetic number, because the mean of its divisors is an integer number (126884736).

Almost surely, 2^11071434240 is an apocalyptic number.

11071434240 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 11071434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20301557760).

11071434240 is an abundant number, since it is smaller than the sum of its proper divisors (29531681280).

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

11071434240 is an equidigital number, since it uses as much as digits as its factorization.

11071434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5230 (or 5208 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 11071434240 in words is "eleven billion, seventy-one million, four hundred thirty-four thousand, two hundred forty".