11413541400 has 96 divisors (see below), whose sum is σ = 35541058560. Its totient is φ = 3029927040.

The previous prime is 11413541389. The next prime is 11413541423. The reversal of 11413541400 is 414531411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91149 + ... + 176451.

It is an arithmetic number, because the mean of its divisors is an integer number (370219360).

Almost surely, 2^11413541400 is an apocalyptic number.

11413541400 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 11413541400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17770529280).

11413541400 is an abundant number, since it is smaller than the sum of its proper divisors (24127517160).

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

11413541400 is a wasteful number, since it uses less digits than its factorization.

11413541400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85545 (or 85536 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 11413541400 in words is "eleven billion, four hundred thirteen million, five hundred forty-one thousand, four hundred".