332400105350400 has 432 divisors, whose sum is σ = 1099342706563584. Its totient is φ = 88450094653440.

The previous prime is 332400105350393. The next prime is 332400105350419. The reversal of 332400105350400 is 4053501004233.

It is a super-2 number, since 2×332400105350400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18480010207 + ... + 18480028193.

It is an arithmetic number, because the mean of its divisors is an integer number (2544774783712).

Almost surely, 2^{332400105350400} is an apocalyptic number.

332400105350400 is a gapful number since it is divisible by the number (30) 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 332400105350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549671353281792).

332400105350400 is an abundant number, since it is smaller than the sum of its proper divisors (766942601213184).

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

332400105350400 is a wasteful number, since it uses less digits than its factorization.

332400105350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20026 (or 20007 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 332400105350400 its reverse (4053501004233), we get a palindrome (336453606354633).

The spelling of 332400105350400 in words is "three hundred thirty-two trillion, four hundred billion, one hundred five million, three hundred fifty thousand, four hundred".