11412421011024 has 320 divisors, whose sum is σ = 32782416076800. Its totient is φ = 3392279654400.

The previous prime is 11412421011023. The next prime is 11412421011049. The reversal of 11412421011024 is 42011012421411.

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

It is a junction number, because it is equal to n+sod(n) for n = 11412421010985 and 11412421011003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11412421011023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4559495757 + ... + 4559498259.

It is an arithmetic number, because the mean of its divisors is an integer number (102445050240).

Almost surely, 2^{11412421011024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11412421011024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16391208038400).

11412421011024 is an abundant number, since it is smaller than the sum of its proper divisors (21369995065776).

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

11412421011024 is a wasteful number, since it uses less digits than its factorization.

11412421011024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3274 (or 3268 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 11412421011024 its reverse (42011012421411), we get a palindrome (53423433432435).

The spelling of 11412421011024 in words is "eleven trillion, four hundred twelve billion, four hundred twenty-one million, eleven thousand, twenty-four".