11642019840000 has 2550 divisors, whose sum is σ = 49421498878290. Its totient is φ = 2724986880000.

The previous prime is 11642019839999. The next prime is 11642019840067. The reversal of 11642019840000 is 4891024611.

11642019840000 is a `hidden beast` number, since 1 + 1 + 6 + 420 + 198 + 40 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 4424931016704 + 7217088823296 = 2103552^2 + 2686464^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 401448959986 + ... + 401448960014.

Almost surely, 2^{11642019840000} is an apocalyptic number.

11642019840000 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 11642019840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24710749439145).

11642019840000 is an abundant number, since it is smaller than the sum of its proper divisors (37779479038290).

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

11642019840000 is an frugal number, since it uses more digits than its factorization.

11642019840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 11642019840000 in words is "eleven trillion, six hundred forty-two billion, nineteen million, eight hundred forty thousand".