11414132520 has 384 divisors, whose sum is σ = 42683241600. Its totient is φ = 2425995264.

The previous prime is 11414132491. The next prime is 11414132531. The reversal of 11414132520 is 2523141411.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8895799 + ... + 8897081.

It is an arithmetic number, because the mean of its divisors is an integer number (111154275).

Almost surely, 2^11414132520 is an apocalyptic number.

11414132520 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 11414132520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21341620800).

11414132520 is an abundant number, since it is smaller than the sum of its proper divisors (31269109080).

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

11414132520 is a wasteful number, since it uses less digits than its factorization.

11414132520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1406 counting only the distinct ones).

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

Adding to 11414132520 its reverse (2523141411), we get a palindrome (13937273931).

The spelling of 11414132520 in words is "eleven billion, four hundred fourteen million, one hundred thirty-two thousand, five hundred twenty".