11990719440 has 480 divisors, whose sum is σ = 48375653760. Its totient is φ = 2721890304.

The previous prime is 11990719439. The next prime is 11990719451. The reversal of 11990719440 is 4491709911.

11990719440 is a `hidden beast` number, since 1 + 199 + 0 + 7 + 19 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20426827 + ... + 20427413.

It is an arithmetic number, because the mean of its divisors is an integer number (100782612).

Almost surely, 2^11990719440 is an apocalyptic number.

11990719440 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 11990719440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24187826880).

11990719440 is an abundant number, since it is smaller than the sum of its proper divisors (36384934320).

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

11990719440 is a wasteful number, since it uses less digits than its factorization.

11990719440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 11990719440 in words is "eleven billion, nine hundred ninety million, seven hundred nineteen thousand, four hundred forty".