4041940008960 has 864 divisors, whose sum is σ = 16122171985920. Its totient is φ = 917634023424.

The previous prime is 4041940008917. The next prime is 4041940008973. The reversal of 4041940008960 is 698000491404.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9207152421 + ... + 9207152859.

It is an arithmetic number, because the mean of its divisors is an integer number (18659921280).

Almost surely, 2^{4041940008960} is an apocalyptic number.

4041940008960 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 4041940008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8061085992960).

4041940008960 is an abundant number, since it is smaller than the sum of its proper divisors (12080231976960).

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

4041940008960 is an equidigital number, since it uses as much as digits as its factorization.

4041940008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 4041940008960 in words is "four trillion, forty-one billion, nine hundred forty million, eight thousand, nine hundred sixty".