11934311040 has 512 divisors, whose sum is σ = 43861305600. Its totient is φ = 3065167872.

The previous prime is 11934311029. The next prime is 11934311063. The reversal of 11934311040 is 4011343911.

11934311040 is a `hidden beast` number, since 1 + 193 + 431 + 1 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11934310995 and 11934311013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76014642 + ... + 76014798.

Almost surely, 2^11934311040 is an apocalyptic number.

11934311040 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 11934311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21930652800).

11934311040 is an abundant number, since it is smaller than the sum of its proper divisors (31926994560).

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

11934311040 is a wasteful number, since it uses less digits than its factorization.

11934311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 11934311040 its reverse (4011343911), we get a palindrome (15945654951).

The spelling of 11934311040 in words is "eleven billion, nine hundred thirty-four million, three hundred eleven thousand, forty".