11534415440 has 40 divisors (see below), whose sum is σ = 27323516808. Its totient is φ = 4526712320.

The previous prime is 11534415419. The next prime is 11534415479. The reversal of 11534415440 is 4451443511.

It can be written as a sum of positive squares in 4 ways, for example, as 261921856 + 11272493584 = 16184^2 + 106172^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 11534415397 and 11534415406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1355951 + ... + 1364430.

Almost surely, 2^11534415440 is an apocalyptic number.

11534415440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11534415440 is an abundant number, since it is smaller than the sum of its proper divisors (15789101368).

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

11534415440 is a wasteful number, since it uses less digits than its factorization.

11534415440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720447 (or 2720441 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 11534415440 its reverse (4451443511), we get a palindrome (15985858951).

The spelling of 11534415440 in words is "eleven billion, five hundred thirty-four million, four hundred fifteen thousand, four hundred forty".