11385365040 has 240 divisors, whose sum is σ = 45108350976. Its totient is φ = 2518387200.

The previous prime is 11385365029. The next prime is 11385365083. The reversal of 11385365040 is 4056358311.

11385365040 is a `hidden beast` number, since 1 + 1 + 38 + 536 + 50 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 11385364986 and 11385365004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119805 + ... + 192675.

Almost surely, 2^11385365040 is an apocalyptic number.

11385365040 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 11385365040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22554175488).

11385365040 is an abundant number, since it is smaller than the sum of its proper divisors (33722985936).

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

11385365040 is a wasteful number, since it uses less digits than its factorization.

11385365040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72928 (or 72919 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 11385365040 in words is "eleven billion, three hundred eighty-five million, three hundred sixty-five thousand, forty".