440013023120 has 40 divisors (see below), whose sum is σ = 1116033033600. Its totient is φ = 160004735360.

The previous prime is 440013023053. The next prime is 440013023123. The reversal of 440013023120 is 21320310044.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×440013023120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 440013023092 and 440013023101.

It is not an unprimeable number, because it can be changed into a prime (440013023123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250006520 + ... + 250008279.

It is an arithmetic number, because the mean of its divisors is an integer number (27900825840).

Almost surely, 2^440013023120 is an apocalyptic number.

440013023120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440013023120 is an abundant number, since it is smaller than the sum of its proper divisors (676020010480).

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

440013023120 is a wasteful number, since it uses less digits than its factorization.

440013023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500014823 (or 500014817 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 440013023120 its reverse (21320310044), we get a palindrome (461333333164).

The spelling of 440013023120 in words is "four hundred forty billion, thirteen million, twenty-three thousand, one hundred twenty".