11642483459040 has 384 divisors, whose sum is σ = 42897595023360. Its totient is φ = 2598650062848.

The previous prime is 11642483459011. The next prime is 11642483459041. The reversal of 11642483459040 is 4095438424611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11642483459041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 979423977 + ... + 979435863.

It is an arithmetic number, because the mean of its divisors is an integer number (111712487040).

Almost surely, 2^{11642483459040} is an apocalyptic number.

11642483459040 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 11642483459040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21448797511680).

11642483459040 is an abundant number, since it is smaller than the sum of its proper divisors (31255111564320).

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

11642483459040 is a wasteful number, since it uses less digits than its factorization.

11642483459040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18734 (or 18726 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 11642483459040 in words is "eleven trillion, six hundred forty-two billion, four hundred eighty-three million, four hundred fifty-nine thousand, forty".