11368477440 has 288 divisors, whose sum is σ = 40559500800. Its totient is φ = 3015290880.

The previous prime is 11368477433. The next prime is 11368477469. The reversal of 11368477440 is 4477486311.

11368477440 is a `hidden beast` number, since 1 + 136 + 8 + 4 + 77 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7291381 + ... + 7292939.

It is an arithmetic number, because the mean of its divisors is an integer number (140831600).

Almost surely, 2^11368477440 is an apocalyptic number.

11368477440 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 11368477440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20279750400).

11368477440 is an abundant number, since it is smaller than the sum of its proper divisors (29191023360).

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

11368477440 is a wasteful number, since it uses less digits than its factorization.

11368477440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 11368477440 in words is "eleven billion, three hundred sixty-eight million, four hundred seventy-seven thousand, four hundred forty".