11241561331440 has 240 divisors, whose sum is σ = 41592768044256. Its totient is φ = 2698244352000.

The previous prime is 11241561331411. The next prime is 11241561331457. The reversal of 11241561331440 is 4413316514211.

11241561331440 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 1 + 5 + 613 + 31 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 11241561331395 and 11241561331404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6226759 + ... + 7826598.

Almost surely, 2^{11241561331440} is an apocalyptic number.

11241561331440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11241561331440 is an abundant number, since it is smaller than the sum of its proper divisors (30351206712816).

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

11241561331440 is a wasteful number, since it uses less digits than its factorization.

11241561331440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14053488 (or 14053479 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 11241561331440 its reverse (4413316514211), we get a palindrome (15654877845651).

The spelling of 11241561331440 in words is "eleven trillion, two hundred forty-one billion, five hundred sixty-one million, three hundred thirty-one thousand, four hundred forty".