11407541243100 has 144 divisors (see below), whose sum is σ = 33112570659840. Its totient is φ = 3032179808000.

The previous prime is 11407541243071. The next prime is 11407541243113. The reversal of 11407541243100 is 134214570411.

It is a happy number.

It is a super-2 number, since 2×11407541243100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 253180174 + ... + 253225226.

It is an arithmetic number, because the mean of its divisors is an integer number (229948407360).

Almost surely, 2^{11407541243100} is an apocalyptic number.

11407541243100 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 11407541243100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16556285329920).

11407541243100 is an abundant number, since it is smaller than the sum of its proper divisors (21705029416740).

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

11407541243100 is a wasteful number, since it uses less digits than its factorization.

11407541243100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47780 (or 47773 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 11407541243100 in words is "eleven trillion, four hundred seven billion, five hundred forty-one million, two hundred forty-three thousand, one hundred".