11339274240 has 1008 divisors, whose sum is σ = 48983538240. Its totient is φ = 2508226560.

The previous prime is 11339274239. The next prime is 11339274257. The reversal of 11339274240 is 4247293311.

It is a happy number.

11339274240 is a `hidden beast` number, since 11 + 339 + 2 + 74 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11339274195 and 11339274204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 365783025 + ... + 365783055.

It is an arithmetic number, because the mean of its divisors is an integer number (48594780).

Almost surely, 2^11339274240 is an apocalyptic number.

11339274240 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 11339274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24491769120).

11339274240 is an abundant number, since it is smaller than the sum of its proper divisors (37644264000).

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

11339274240 is an frugal number, since it uses more digits than its factorization.

11339274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 11339274240 in words is "eleven billion, three hundred thirty-nine million, two hundred seventy-four thousand, two hundred forty".