11484426240 has 1040 divisors, whose sum is σ = 50237434368. Its totient is φ = 2452488192.

The previous prime is 11484426229. The next prime is 11484426241. The reversal of 11484426240 is 4262448411.

11484426240 is a `hidden beast` number, since 114 + 8 + 442 + 62 + 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 = 11484426195 and 11484426204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11484426241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 267079659 + ... + 267079701.

Almost surely, 2^11484426240 is an apocalyptic number.

11484426240 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 11484426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25118717184).

11484426240 is an abundant number, since it is smaller than the sum of its proper divisors (38753008128).

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

11484426240 is an equidigital number, since it uses as much as digits as its factorization.

11484426240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 11484426240 in words is "eleven billion, four hundred eighty-four million, four hundred twenty-six thousand, two hundred forty".