4041496166400 has 2880 divisors, whose sum is σ = 19168199507160. Its totient is φ = 832359628800.

The previous prime is 4041496166339. The next prime is 4041496166413. The reversal of 4041496166400 is 46616941404.

4041496166400 is a `hidden beast` number, since 4 + 0 + 41 + 49 + 6 + 166 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 35765452744 + ... + 35765452856.

Almost surely, 2^{4041496166400} is an apocalyptic number.

4041496166400 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 4041496166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9584099753580).

4041496166400 is an abundant number, since it is smaller than the sum of its proper divisors (15126703340760).

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

4041496166400 is a wasteful number, since it uses less digits than its factorization.

4041496166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 4041496166400 in words is "four trillion, forty-one billion, four hundred ninety-six million, one hundred sixty-six thousand, four hundred".