11341503959040 has 312 divisors, whose sum is σ = 39562912749048. Its totient is φ = 3005129687040.

The previous prime is 11341503959039. The next prime is 11341503959059. The reversal of 11341503959040 is 4095930514311.

11341503959040 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 1 + 50 + 3 + 9 + 590 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3101205528576 + 8240298430464 = 1761024^2 + 2870592^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28742280 + ... + 29134200.

It is an arithmetic number, because the mean of its divisors is an integer number (126804207529).

Almost surely, 2^{11341503959040} is an apocalyptic number.

11341503959040 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 11341503959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19781456374524).

11341503959040 is an abundant number, since it is smaller than the sum of its proper divisors (28221408790008).

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

11341503959040 is a wasteful number, since it uses less digits than its factorization.

11341503959040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392113 (or 392088 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 11341503959040 in words is "eleven trillion, three hundred forty-one billion, five hundred three million, nine hundred fifty-nine thousand, forty".