4104051331600 has 360 divisors, whose sum is σ = 10989346402440. Its totient is φ = 1471641600000.

The previous prime is 4104051331571. The next prime is 4104051331603. The reversal of 4104051331600 is 61331504014.

It can be written as a sum of positive squares in 12 ways, for example, as 2456504520976 + 1647546810624 = 1567324^2 + 1283568^2 .

It is not an unprimeable number, because it can be changed into a prime (4104051331603) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1314978040 + ... + 1314981160.

It is an arithmetic number, because the mean of its divisors is an integer number (30525962229).

Almost surely, 2^{4104051331600} is an apocalyptic number.

4104051331600 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 4104051331600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5494673201220).

4104051331600 is an abundant number, since it is smaller than the sum of its proper divisors (6885295070840).

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

4104051331600 is a wasteful number, since it uses less digits than its factorization.

4104051331600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3531 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 4104051331600 its reverse (61331504014), we get a palindrome (4165382835614).

The spelling of 4104051331600 in words is "four trillion, one hundred four billion, fifty-one million, three hundred thirty-one thousand, six hundred".