4041865094400 has 432 divisors, whose sum is σ = 16938413788800. Its totient is φ = 923854602240.

The previous prime is 4041865094389. The next prime is 4041865094401. The reversal of 4041865094400 is 44905681404.

4041865094400 is a `hidden beast` number, since 40 + 41 + 86 + 5 + 0 + 94 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×4041865094400² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4041865094401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 461145 + ... + 2880344.

Almost surely, 2^{4041865094400} is an apocalyptic number.

4041865094400 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 4041865094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8469206894400).

4041865094400 is an abundant number, since it is smaller than the sum of its proper divisors (12896548694400).

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

4041865094400 is a wasteful number, since it uses less digits than its factorization.

4041865094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3341531 (or 3341506 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 4041865094400 in words is "four trillion, forty-one billion, eight hundred sixty-five million, ninety-four thousand, four hundred".