441790713000 has 1536 divisors, whose sum is σ = 2032839244800. Its totient is φ = 87671808000.

The previous prime is 441790712989. The next prime is 441790713019. The reversal of 441790713000 is 317097144.

441790713000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 292382245 + ... + 292383755.

It is an arithmetic number, because the mean of its divisors is an integer number (1323463050).

Almost surely, 2^441790713000 is an apocalyptic number.

441790713000 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 441790713000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016419622400).

441790713000 is an abundant number, since it is smaller than the sum of its proper divisors (1591048531800).

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

441790713000 is a wasteful number, since it uses less digits than its factorization.

441790713000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 441790713000 in words is "four hundred forty-one billion, seven hundred ninety million, seven hundred thirteen thousand".