10949395242240 has 3024 divisors, whose sum is σ = 50007691918800. Its totient is φ = 2289007558656.

The previous prime is 10949395242179. The next prime is 10949395242257. The reversal of 10949395242240 is 4224259394901.

It is a happy number.

10949395242240 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 9 + 395 + 2 + 4 + 2 + 240 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7227150448896 + 3722244793344 = 2688336^2 + 1929312^2 .

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-3 number, since 3×10949395242240³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 100453167306 + ... + 100453167414.

Almost surely, 2^{10949395242240} is an apocalyptic number.

10949395242240 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 10949395242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25003845959400).

10949395242240 is an abundant number, since it is smaller than the sum of its proper divisors (39058296676560).

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

10949395242240 is an frugal number, since it uses more digits than its factorization.

10949395242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 10949395242240 in words is "ten trillion, nine hundred forty-nine billion, three hundred ninety-five million, two hundred forty-two thousand, two hundred forty".