4032201320400 has 480 divisors, whose sum is σ = 14278864094208. Its totient is φ = 964481638400.

The previous prime is 4032201320393. The next prime is 4032201320419. The reversal of 4032201320400 is 40231022304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1070399317 + ... + 1070403083.

Almost surely, 2^{4032201320400} is an apocalyptic number.

4032201320400 is a gapful number since it is divisible by the number (40) 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 4032201320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7139432047104).

4032201320400 is an abundant number, since it is smaller than the sum of its proper divisors (10246662773808).

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

4032201320400 is a wasteful number, since it uses less digits than its factorization.

4032201320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4859 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 4032201320400 its reverse (40231022304), we get a palindrome (4072432342704).

The spelling of 4032201320400 in words is "four trillion, thirty-two billion, two hundred one million, three hundred twenty thousand, four hundred".