40003727884800 has 480 divisors, whose sum is σ = 133426739160000. Its totient is φ = 10565005148160.

The previous prime is 40003727884699. The next prime is 40003727884801. The reversal of 40003727884800 is 848872730004.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×40003727884800² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40003727884801) 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, 1985385126 + ... + 1985405274.

It is an arithmetic number, because the mean of its divisors is an integer number (277972373250).

Almost surely, 2^{40003727884800} is an apocalyptic number.

40003727884800 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 40003727884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66713369580000).

40003727884800 is an abundant number, since it is smaller than the sum of its proper divisors (93423011275200).

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

40003727884800 is a wasteful number, since it uses less digits than its factorization.

40003727884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20676 (or 20655 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 51.

The spelling of 40003727884800 in words is "forty trillion, three billion, seven hundred twenty-seven million, eight hundred eighty-four thousand, eight hundred".