40404884800000 has 480 divisors, whose sum is σ = 117777612750336. Its totient is φ = 13558179840000.

The previous prime is 40404884799977. The next prime is 40404884800013. The reversal of 40404884800000 is 848840404.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 526361622 + ... + 526438378.

Almost surely, 2^{40404884800000} is an apocalyptic number.

40404884800000 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 40404884800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58888806375168).

40404884800000 is an abundant number, since it is smaller than the sum of its proper divisors (77372727950336).

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

40404884800000 is an frugal number, since it uses more digits than its factorization.

40404884800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76854 (or 76818 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

It can be divided in two parts, 4040488 and 4800000, that added together give a palindrome (8840488).

The spelling of 40404884800000 in words is "forty trillion, four hundred four billion, eight hundred eighty-four million, eight hundred thousand".