2032404320400 has 480 divisors, whose sum is σ = 6847267996800. Its totient is φ = 514625126400.

The previous prime is 2032404320383. The next prime is 2032404320459. The reversal of 2032404320400 is 40234042302.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 610146735 + ... + 610150065.

It is an arithmetic number, because the mean of its divisors is an integer number (14265141660).

Almost surely, 2^{2032404320400} is an apocalyptic number.

2032404320400 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 2032404320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423633998400).

2032404320400 is an abundant number, since it is smaller than the sum of its proper divisors (4814863676400).

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

2032404320400 is a wasteful number, since it uses less digits than its factorization.

2032404320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3667 (or 3656 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 2032404320400 its reverse (40234042302), we get a palindrome (2072638362702).

The spelling of 2032404320400 in words is "two trillion, thirty-two billion, four hundred four million, three hundred twenty thousand, four hundred".