440100052000 has 384 divisors, whose sum is σ = 1276756895232. Its totient is φ = 145939968000.

The previous prime is 440100051983. The next prime is 440100052009. The reversal of 440100052000 is 250001044.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (440100052009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 187514827 + ... + 187517173.

It is an arithmetic number, because the mean of its divisors is an integer number (3324887748).

Almost surely, 2^440100052000 is an apocalyptic number.

440100052000 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 440100052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638378447616).

440100052000 is an abundant number, since it is smaller than the sum of its proper divisors (836656843232).

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

440100052000 is a wasteful number, since it uses less digits than its factorization.

440100052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2597 (or 2579 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

Adding to 440100052000 its reverse (250001044), we get a palindrome (440350053044).

The spelling of 440100052000 in words is "four hundred forty billion, one hundred million, fifty-two thousand".