4041212110400 has 168 divisors, whose sum is σ = 10010087349864. Its totient is φ = 1605762662400.

The previous prime is 4041212110391. The next prime is 4041212110417. The reversal of 4041212110400 is 40112121404.

It can be written as a sum of positive squares in 12 ways, for example, as 1523506364416 + 2517705745984 = 1234304^2 + 1586728^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146720630 + ... + 146748170.

It is an arithmetic number, because the mean of its divisors is an integer number (59583853273).

Almost surely, 2^{4041212110400} is an apocalyptic number.

4041212110400 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 4041212110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5005043674932).

4041212110400 is an abundant number, since it is smaller than the sum of its proper divisors (5968875239464).

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

4041212110400 is a wasteful number, since it uses less digits than its factorization.

4041212110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28169 (or 28154 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 4041212110400 its reverse (40112121404), we get a palindrome (4081324231804).

The spelling of 4041212110400 in words is "four trillion, forty-one billion, two hundred twelve million, one hundred ten thousand, four hundred".