4041034071800 has 288 divisors, whose sum is σ = 10669717094400. Its totient is φ = 1420811040000.

The previous prime is 4041034071787. The next prime is 4041034071821. The reversal of 4041034071800 is 81704301404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1403622761 + ... + 1403625639.

It is an arithmetic number, because the mean of its divisors is an integer number (37047628800).

Almost surely, 2^{4041034071800} is an apocalyptic number.

4041034071800 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 4041034071800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334858547200).

4041034071800 is an abundant number, since it is smaller than the sum of its proper divisors (6628683022600).

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

4041034071800 is a wasteful number, since it uses less digits than its factorization.

4041034071800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4819 (or 4799 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 4041034071800 in words is "four trillion, forty-one billion, thirty-four million, seventy-one thousand, eight hundred".