440240470661200 has 720 divisors, whose sum is σ = 1213618079471616. Its totient is φ = 153338697600000.

The previous prime is 440240470661161. The next prime is 440240470661237. The reversal of 440240470661200 is 2166074042044.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 145630322889 + ... + 145630325911.

Almost surely, 2^{440240470661200} is an apocalyptic number.

440240470661200 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 440240470661200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606809039735808).

440240470661200 is an abundant number, since it is smaller than the sum of its proper divisors (773377608810416).

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

440240470661200 is a wasteful number, since it uses less digits than its factorization.

440240470661200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3257 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 40.

The spelling of 440240470661200 in words is "four hundred forty trillion, two hundred forty billion, four hundred seventy million, six hundred sixty-one thousand, two hundred".