440342401440 has 48 divisors (see below), whose sum is σ = 1387078566048. Its totient is φ = 117424640256.

The previous prime is 440342401379. The next prime is 440342401463. The reversal of 440342401440 is 44104243044.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×440342401440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 440342401398 and 440342401407.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 458689522 + ... + 458690481.

It is an arithmetic number, because the mean of its divisors is an integer number (28897470126).

Almost surely, 2^440342401440 is an apocalyptic number.

440342401440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440342401440 is an abundant number, since it is smaller than the sum of its proper divisors (946736164608).

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

440342401440 is a wasteful number, since it uses less digits than its factorization.

440342401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917380021 (or 917380013 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 440342401440 its reverse (44104243044), we get a palindrome (484446644484).

The spelling of 440342401440 in words is "four hundred forty billion, three hundred forty-two million, four hundred one thousand, four hundred forty".