440961037413120 has 576 divisors, whose sum is σ = 1790097982848000. Its totient is φ = 100692126203904.

The previous prime is 440961037413109. The next prime is 440961037413133. The reversal of 440961037413120 is 21314730169044.

It is a happy number.

440961037413120 is a `hidden beast` number, since 4 + 4 + 0 + 9 + 6 + 103 + 7 + 413 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 245622096 + ... + 247410864.

It is an arithmetic number, because the mean of its divisors is an integer number (3107808998000).

Almost surely, 2^{440961037413120} is an apocalyptic number.

440961037413120 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 440961037413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895048991424000).

440961037413120 is an abundant number, since it is smaller than the sum of its proper divisors (1349136945434880).

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

440961037413120 is a wasteful number, since it uses less digits than its factorization.

440961037413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789825 (or 1789805 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 440961037413120 in words is "four hundred forty trillion, nine hundred sixty-one billion, thirty-seven million, four hundred thirteen thousand, one hundred twenty".