332131003041400 has 192 divisors, whose sum is σ = 788658013728000. Its totient is φ = 130041900595200.

The previous prime is 332131003041373. The next prime is 332131003041401. The reversal of 332131003041400 is 4140300131233.

It is a super-2 number, since 2×332131003041400² (a number of 30 digits) contains 22 as substring.

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 (332131003041401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3475252816 + ... + 3475348384.

It is an arithmetic number, because the mean of its divisors is an integer number (4107593821500).

Almost surely, 2^{332131003041400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332131003041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394329006864000).

332131003041400 is an abundant number, since it is smaller than the sum of its proper divisors (456527010686600).

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

332131003041400 is a wasteful number, since it uses less digits than its factorization.

332131003041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96902 (or 96893 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 332131003041400 its reverse (4140300131233), we get a palindrome (336271303172633).

The spelling of 332131003041400 in words is "three hundred thirty-two trillion, one hundred thirty-one billion, three million, forty-one thousand, four hundred".