2124435040000 has 720 divisors, whose sum is σ = 6647336321472. Its totient is φ = 659423232000.

The previous prime is 2124435039989. The next prime is 2124435040001. The reversal of 2124435040000 is 405344212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124435040001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 771678624 + ... + 771681376.

Almost surely, 2^{2124435040000} is an apocalyptic number.

2124435040000 is a gapful number since it is divisible by the number (20) 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 2124435040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3323668160736).

2124435040000 is an abundant number, since it is smaller than the sum of its proper divisors (4522901281472).

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

2124435040000 is an equidigital number, since it uses as much as digits as its factorization.

2124435040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2833 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The spelling of 2124435040000 in words is "two trillion, one hundred twenty-four billion, four hundred thirty-five million, forty thousand".