11398041600 has 312 divisors, whose sum is σ = 41123013792. Its totient is φ = 2762342400.

The previous prime is 11398041583. The next prime is 11398041607. The reversal of 11398041600 is 614089311.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11398041607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3377514 + ... + 3380886.

Almost surely, 2^11398041600 is an apocalyptic number.

11398041600 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 11398041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20561506896).

11398041600 is an abundant number, since it is smaller than the sum of its proper divisors (29724972192).

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

11398041600 is a wasteful number, since it uses less digits than its factorization.

11398041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3421 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 11398041600 in words is "eleven billion, three hundred ninety-eight million, forty-one thousand, six hundred".