438743145011304 has 512 divisors, whose sum is σ = 1332708745052160. Its totient is φ = 117745975296000.

The previous prime is 438743145011267. The next prime is 438743145011321. The reversal of 438743145011304 is 403110541347834.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8109677854 + ... + 8109731954.

It is an arithmetic number, because the mean of its divisors is an integer number (2602946767680).

Almost surely, 2^{438743145011304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438743145011304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666354372526080).

438743145011304 is an abundant number, since it is smaller than the sum of its proper divisors (893965600040856).

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

438743145011304 is a wasteful number, since it uses less digits than its factorization.

438743145011304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54561 (or 54557 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 438743145011304 in words is "four hundred thirty-eight trillion, seven hundred forty-three billion, one hundred forty-five million, eleven thousand, three hundred four".