438348476245680 has 6400 divisors, whose sum is σ = 2280655628697600. Its totient is φ = 76551074611200.

The previous prime is 438348476245633. The next prime is 438348476245703. The reversal of 438348476245680 is 86542674843834.

438348476245680 is a `hidden beast` number, since 4 + 3 + 8 + 3 + 4 + 8 + 476 + 24 + 56 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 438348476245599 and 438348476245608.

It is an unprimeable number.

It is a polite number, since it can be written in 1279 ways as a sum of consecutive naturals, for example, 167500371732 + ... + 167500374348.

It is an arithmetic number, because the mean of its divisors is an integer number (356352441984).

Almost surely, 2^{438348476245680} is an apocalyptic number.

438348476245680 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 438348476245680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140327814348800).

438348476245680 is an abundant number, since it is smaller than the sum of its proper divisors (1842307152451920).

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

438348476245680 is a wasteful number, since it uses less digits than its factorization.

438348476245680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2735 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 2972712960, while the sum is 72.

The spelling of 438348476245680 in words is "four hundred thirty-eight trillion, three hundred forty-eight billion, four hundred seventy-six million, two hundred forty-five thousand, six hundred eighty".