2240123221413 has 384 divisors, whose sum is σ = 4421966976000. Its totient is φ = 1118564536320.

The previous prime is 2240123221333. The next prime is 2240123221549. The reversal of 2240123221413 is 3141223210422.

2240123221413 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 1 + 23 + 221 + 413 = 666.

It is not a de Polignac number, because 2240123221413 - 2⁹ = 2240123220901 is a prime.

It is a super-2 number, since 2×2240123221413² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240123221313) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4021764931 + ... + 4021765487.

It is an arithmetic number, because the mean of its divisors is an integer number (11515539000).

Almost surely, 2^{2240123221413} is an apocalyptic number.

It is an amenable number.

2240123221413 is a deficient number, since it is larger than the sum of its proper divisors (2181843754587).

2240123221413 is a wasteful number, since it uses less digits than its factorization.

2240123221413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2240123221413 its reverse (3141223210422), we get a palindrome (5381346431835).

The spelling of 2240123221413 in words is "two trillion, two hundred forty billion, one hundred twenty-three million, two hundred twenty-one thousand, four hundred thirteen".