11309466240 has 640 divisors, whose sum is σ = 43946899920. Its totient is φ = 2760376320.

The previous prime is 11309466211. The next prime is 11309466251. The reversal of 11309466240 is 4266490311.

It can be written as a sum of positive squares in 8 ways, for example, as 574848576 + 10734617664 = 23976^2 + 103608^2 .

It is a tau number, because it is divible by the number of its divisors (640).

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 = 11309466195 and 11309466204.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36132324 + ... + 36132636.

Almost surely, 2^11309466240 is an apocalyptic number.

11309466240 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 11309466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21973449960).

11309466240 is an abundant number, since it is smaller than the sum of its proper divisors (32637433680).

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

11309466240 is a wasteful number, since it uses less digits than its factorization.

11309466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 11309466240 in words is "eleven billion, three hundred nine million, four hundred sixty-six thousand, two hundred forty".