11430024080832 has 1344 divisors, whose sum is σ = 43343657280000. Its totient is φ = 2930989694976.

The previous prime is 11430024080777. The next prime is 11430024080833. The reversal of 11430024080832 is 23808042003411.

It is a happy number.

11430024080832 is a `hidden beast` number, since 1 + 1 + 4 + 300 + 240 + 80 + 8 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11430024080833) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3464691919 + ... + 3464695217.

It is an arithmetic number, because the mean of its divisors is an integer number (32249745000).

Almost surely, 2^{11430024080832} is an apocalyptic number.

11430024080832 is a gapful number since it is divisible by the number (12) 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 11430024080832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21671828640000).

11430024080832 is an abundant number, since it is smaller than the sum of its proper divisors (31913633199168).

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

11430024080832 is a wasteful number, since it uses less digits than its factorization.

11430024080832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3463 (or 3440 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 11430024080832 in words is "eleven trillion, four hundred thirty billion, twenty-four million, eighty thousand, eight hundred thirty-two".