2413820143728 has 200 divisors, whose sum is σ = 7989172077920. Its totient is φ = 689245355520.

The previous prime is 2413820143727. The next prime is 2413820143747. The reversal of 2413820143728 is 8273410283142.

2413820143728 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 8 + 201 + 437 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413820143727) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15061458 + ... + 15220878.

Almost surely, 2^{2413820143728} is an apocalyptic number.

2413820143728 is a gapful number since it is divisible by the number (28) 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 2413820143728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3994586038960).

2413820143728 is an abundant number, since it is smaller than the sum of its proper divisors (5575351934192).

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

2413820143728 is a wasteful number, since it uses less digits than its factorization.

2413820143728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161117 (or 161102 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 2413820143728 in words is "two trillion, four hundred thirteen billion, eight hundred twenty million, one hundred forty-three thousand, seven hundred twenty-eight".