4041406944000 has 864 divisors, whose sum is σ = 14942864961024. Its totient is φ = 1048229683200.

The previous prime is 4041406943953. The next prime is 4041406944049. The reversal of 4041406944000 is 4496041404.

It is a super-2 number, since 2×4041406944000² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3801887469 + ... + 3801888531.

Almost surely, 2^{4041406944000} is an apocalyptic number.

4041406944000 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 4041406944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7471432480512).

4041406944000 is an abundant number, since it is smaller than the sum of its proper divisors (10901458017024).

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

4041406944000 is a wasteful number, since it uses less digits than its factorization.

4041406944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1423 counting only the distinct ones).

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

The spelling of 4041406944000 in words is "four trillion, forty-one billion, four hundred six million, nine hundred forty-four thousand".