11477561040 has 480 divisors, whose sum is σ = 44812310400. Its totient is φ = 2603335680.

The previous prime is 11477561003. The next prime is 11477561071. The reversal of 11477561040 is 4016577411.

11477561040 is a `hidden beast` number, since 11 + 47 + 7 + 561 + 0 + 40 = 666.

11477561040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11477560986 and 11477561004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13392292 + ... + 13393148.

It is an arithmetic number, because the mean of its divisors is an integer number (93358980).

Almost surely, 2^11477561040 is an apocalyptic number.

11477561040 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 11477561040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22406155200).

11477561040 is an abundant number, since it is smaller than the sum of its proper divisors (33334749360).

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

11477561040 is a wasteful number, since it uses less digits than its factorization.

11477561040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 11477561040 in words is "eleven billion, four hundred seventy-seven million, five hundred sixty-one thousand, forty".