4120332032400 has 240 divisors, whose sum is σ = 13563409219584. Its totient is φ = 1068437053440.

The previous prime is 4120332032351. The next prime is 4120332032423. The reversal of 4120332032400 is 42302330214.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 78872689 + ... + 78924911.

Almost surely, 2^{4120332032400} is an apocalyptic number.

4120332032400 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 4120332032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6781704609792).

4120332032400 is an abundant number, since it is smaller than the sum of its proper divisors (9443077187184).

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

4120332032400 is a wasteful number, since it uses less digits than its factorization.

4120332032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54058 (or 54047 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 4120332032400 its reverse (42302330214), we get a palindrome (4162634362614).

The spelling of 4120332032400 in words is "four trillion, one hundred twenty billion, three hundred thirty-two million, thirty-two thousand, four hundred".