4197936948480 has 1440 divisors, whose sum is σ = 18001071728640. Its totient is φ = 922091765760.

The previous prime is 4197936948473. The next prime is 4197936948493. The reversal of 4197936948480 is 848496397914.

4197936948480 is a `hidden beast` number, since 4 + 1 + 9 + 7 + 9 + 3 + 69 + 484 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 4197936948399 and 4197936948408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 498385549 + ... + 498393971.

It is an arithmetic number, because the mean of its divisors is an integer number (12500744256).

Almost surely, 2^{4197936948480} is an apocalyptic number.

4197936948480 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 4197936948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9000535864320).

4197936948480 is an abundant number, since it is smaller than the sum of its proper divisors (13803134780160).

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

4197936948480 is a wasteful number, since it uses less digits than its factorization.

4197936948480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8509 (or 8486 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 4197936948480 in words is "four trillion, one hundred ninety-seven billion, nine hundred thirty-six million, nine hundred forty-eight thousand, four hundred eighty".