438819025920 has 264 divisors, whose sum is σ = 1542735338592. Its totient is φ = 106379919360.

The previous prime is 438819025889. The next prime is 438819025963. The reversal of 438819025920 is 29520918834.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1740507 + ... + 1976613.

Almost surely, 2^438819025920 is an apocalyptic number.

438819025920 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 438819025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771367669296).

438819025920 is an abundant number, since it is smaller than the sum of its proper divisors (1103916312672).

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

438819025920 is a wasteful number, since it uses less digits than its factorization.

438819025920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236157 (or 236128 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 438819025920 in words is "four hundred thirty-eight billion, eight hundred nineteen million, twenty-five thousand, nine hundred twenty".