43997638164480 has 4480 divisors, whose sum is σ = 221810153241600. Its totient is φ = 8072189706240.

The previous prime is 43997638164479. The next prime is 43997638164551. The reversal of 43997638164480 is 8446183679934.

It is a happy number.

43997638164480 is a `hidden beast` number, since 4 + 3 + 9 + 9 + 7 + 6 + 3 + 81 + 64 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

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 = 43997638164399 and 43997638164408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1912940789749 + ... + 1912940789771.

It is an arithmetic number, because the mean of its divisors is an integer number (49511194920).

Almost surely, 2^{43997638164480} is an apocalyptic number.

43997638164480 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 43997638164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110905076620800).

43997638164480 is an abundant number, since it is smaller than the sum of its proper divisors (177812515077120).

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

43997638164480 is an frugal number, since it uses more digits than its factorization.

43997638164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 43997638164480 in words is "forty-three trillion, nine hundred ninety-seven billion, six hundred thirty-eight million, one hundred sixty-four thousand, four hundred eighty".