11241434143440 has 160 divisors (see below), whose sum is σ = 38726687404800. Its totient is φ = 2997236390400.

The previous prime is 11241434143339. The next prime is 11241434143481. The reversal of 11241434143440 is 4434143414211.

11241434143440 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 143 + 41 + 434 + 40 = 666.

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 = 11241434143395 and 11241434143404.

It is a congruent number.

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, 13197181 + ... + 14023139.

It is an arithmetic number, because the mean of its divisors is an integer number (242041796280).

Almost surely, 2^{11241434143440} is an apocalyptic number.

11241434143440 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 11241434143440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19363343702400).

11241434143440 is an abundant number, since it is smaller than the sum of its proper divisors (27485253261360).

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

11241434143440 is a wasteful number, since it uses less digits than its factorization.

11241434143440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832282 (or 832270 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 11241434143440 its reverse (4434143414211), we get a palindrome (15675577557651).

The spelling of 11241434143440 in words is "eleven trillion, two hundred forty-one billion, four hundred thirty-four million, one hundred forty-three thousand, four hundred forty".