438621477120 has 432 divisors, whose sum is σ = 1615152979440. Its totient is φ = 109516947456.

The previous prime is 438621477059. The next prime is 438621477139. The reversal of 438621477120 is 21774126834.

438621477120 is a `hidden beast` number, since 4 + 3 + 8 + 621 + 4 + 7 + 7 + 12 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 78391040256 + 360230436864 = 279984^2 + 600192^2 .

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 47 ways as a sum of consecutive naturals, for example, 38574796 + ... + 38586164.

It is an arithmetic number, because the mean of its divisors is an integer number (3738780045).

Almost surely, 2^438621477120 is an apocalyptic number.

438621477120 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 438621477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807576489720).

438621477120 is an abundant number, since it is smaller than the sum of its proper divisors (1176531502320).

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

438621477120 is a wasteful number, since it uses less digits than its factorization.

438621477120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11610 (or 11593 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 438621477120 in words is "four hundred thirty-eight billion, six hundred twenty-one million, four hundred seventy-seven thousand, one hundred twenty".