11434908380640 has 192 divisors, whose sum is σ = 36074513631744. Its totient is φ = 3044693608448.

The previous prime is 11434908380627. The next prime is 11434908380659. The reversal of 11434908380640 is 4608380943411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2076428767 + ... + 2076434273.

It is an arithmetic number, because the mean of its divisors is an integer number (187888091832).

Almost surely, 2^{11434908380640} is an apocalyptic number.

11434908380640 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 11434908380640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18037256815872).

11434908380640 is an abundant number, since it is smaller than the sum of its proper divisors (24639605251104).

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

11434908380640 is a wasteful number, since it uses less digits than its factorization.

11434908380640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11289 (or 11281 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 11434908380640 in words is "eleven trillion, four hundred thirty-four billion, nine hundred eight million, three hundred eighty thousand, six hundred forty".