2030042414400 has 2688 divisors, whose sum is σ = 9683553546240. Its totient is φ = 358318080000.

The previous prime is 2030042414369. The next prime is 2030042414471. The reversal of 2030042414400 is 44142400302.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3377774100 + ... + 3377774700.

It is an arithmetic number, because the mean of its divisors is an integer number (3602512480).

Almost surely, 2^{2030042414400} is an apocalyptic number.

2030042414400 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 2030042414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4841776773120).

2030042414400 is an abundant number, since it is smaller than the sum of its proper divisors (7653511131840).

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

2030042414400 is a wasteful number, since it uses less digits than its factorization.

2030042414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2030042414400 its reverse (44142400302), we get a palindrome (2074184814702).

It can be divided in two parts, 2030042 and 414400, that added together give a palindrome (2444442).

The spelling of 2030042414400 in words is "two trillion, thirty billion, forty-two million, four hundred fourteen thousand, four hundred".