4120541324400 has 120 divisors (see below), whose sum is σ = 13201525833984. Its totient is φ = 1098639660800.

The previous prime is 4120541324387. The next prime is 4120541324401. The reversal of 4120541324400 is 44231450214.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4120541324401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7524697 + ... + 8053703.

Almost surely, 2^{4120541324400} is an apocalyptic number.

4120541324400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4120541324400 is an abundant number, since it is smaller than the sum of its proper divisors (9080984509584).

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

4120541324400 is a wasteful number, since it uses less digits than its factorization.

4120541324400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535519 (or 535508 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 4120541324400 its reverse (44231450214), we get a palindrome (4164772774614).

The spelling of 4120541324400 in words is "four trillion, one hundred twenty billion, five hundred forty-one million, three hundred twenty-four thousand, four hundred".