4041226166400 has 1536 divisors, whose sum is σ = 15736135680000. Its totient is φ = 1011419136000.

The previous prime is 4041226166363. The next prime is 4041226166407. The reversal of 4041226166400 is 46616221404.

4041226166400 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 2 + 2 + 6 + 1 + 6 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4041226166407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15023145466 + ... + 15023145734.

It is an arithmetic number, because the mean of its divisors is an integer number (10244880000).

Almost surely, 2^{4041226166400} is an apocalyptic number.

4041226166400 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 4041226166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7868067840000).

4041226166400 is an abundant number, since it is smaller than the sum of its proper divisors (11694909513600).

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

4041226166400 is a wasteful number, since it uses less digits than its factorization.

4041226166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 4041226166400 in words is "four trillion, forty-one billion, two hundred twenty-six million, one hundred sixty-six thousand, four hundred".