11333242343440 has 160 divisors (see below), whose sum is σ = 28772750327904. Its totient is φ = 4134088212480.

The previous prime is 11333242343419. The next prime is 11333242343453. The reversal of 11333242343440 is 4434324233311.

It can be written as a sum of positive squares in 16 ways, for example, as 139239429904 + 11194002913536 = 373148^2 + 3345744^2 .

It is a super-2 number, since 2×11333242343440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 11333242343440.

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, 11659852 + ... + 12594388.

Almost surely, 2^{11333242343440} is an apocalyptic number.

11333242343440 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 11333242343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14386375163952).

11333242343440 is an abundant number, since it is smaller than the sum of its proper divisors (17439507984464).

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

11333242343440 is a wasteful number, since it uses less digits than its factorization.

11333242343440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934845 (or 934839 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 37.

Adding to 11333242343440 its reverse (4434324233311), we get a palindrome (15767566576751).

The spelling of 11333242343440 in words is "eleven trillion, three hundred thirty-three billion, two hundred forty-two million, three hundred forty-three thousand, four hundred forty".