11642019840 has 840 divisors, whose sum is σ = 47457291420. Its totient is φ = 2724986880.

The previous prime is 11642019793. The next prime is 11642019863. The reversal of 11642019840 is 4891024611.

11642019840 is a `hidden beast` number, since 1 + 1 + 6 + 420 + 198 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11601874944 + 40144896 = 107712^2 + 6336^2 .

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 = 11642019795 and 11642019804.

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 59 ways as a sum of consecutive naturals, for example, 401448946 + ... + 401448974.

Almost surely, 2^11642019840 is an apocalyptic number.

11642019840 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 11642019840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23728645710).

11642019840 is an abundant number, since it is smaller than the sum of its proper divisors (35815271580).

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

11642019840 is an equidigital number, since it uses as much as digits as its factorization.

11642019840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 50 counting only the distinct ones).

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

The spelling of 11642019840 in words is "eleven billion, six hundred forty-two million, nineteen thousand, eight hundred forty".