11344742640 has 1440 divisors, whose sum is σ = 53348585472. Its totient is φ = 2128896000.

The previous prime is 11344742627. The next prime is 11344742677. The reversal of 11344742640 is 4624744311.

11344742640 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 4 + 7 + 4 + 2 + 640 = 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 = 11344742595 and 11344742604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 276701020 + ... + 276701060.

Almost surely, 2^11344742640 is an apocalyptic number.

11344742640 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 11344742640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26674292736).

11344742640 is an abundant number, since it is smaller than the sum of its proper divisors (42003842832).

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

11344742640 is a wasteful number, since it uses less digits than its factorization.

11344742640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 11344742640 in words is "eleven billion, three hundred forty-four million, seven hundred forty-two thousand, six hundred forty".