11532961440 has 1440 divisors, whose sum is σ = 56062347264. Its totient is φ = 2194698240.

The previous prime is 11532961409. The next prime is 11532961471. The reversal of 11532961440 is 4416923511.

It is a happy number.

11532961440 is a `hidden beast` number, since 1 + 1 + 5 + 32 + 9 + 614 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11532961409) and next prime (11532961471).

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 11532961395 and 11532961404.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 90810657 + ... + 90810783.

Almost surely, 2^11532961440 is an apocalyptic number.

11532961440 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 11532961440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28031173632).

11532961440 is an abundant number, since it is smaller than the sum of its proper divisors (44529385824).

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

11532961440 is a wasteful number, since it uses less digits than its factorization.

11532961440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 11532961440 in words is "eleven billion, five hundred thirty-two million, nine hundred sixty-one thousand, four hundred forty".