11193719040 has 432 divisors, whose sum is σ = 44651163648. Its totient is φ = 2536095744.

The previous prime is 11193719029. The next prime is 11193719063. The reversal of 11193719040 is 4091739111.

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 = 11193718986 and 11193719004.

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 47 ways as a sum of consecutive naturals, for example, 10240734 + ... + 10241826.

Almost surely, 2^11193719040 is an apocalyptic number.

11193719040 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 11193719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22325581824).

11193719040 is an abundant number, since it is smaller than the sum of its proper divisors (33457444608).

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

11193719040 is a wasteful number, since it uses less digits than its factorization.

11193719040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The spelling of 11193719040 in words is "eleven billion, one hundred ninety-three million, seven hundred nineteen thousand, forty".