4197960543840 has 576 divisors, whose sum is σ = 16530582104064. Its totient is φ = 889606029312.

The previous prime is 4197960543817. The next prime is 4197960543863. The reversal of 4197960543840 is 483450697914.

It is an interprime number because it is at equal distance from previous prime (4197960543817) and next prime (4197960543863).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26710929 + ... + 26867631.

It is an arithmetic number, because the mean of its divisors is an integer number (28698927264).

Almost surely, 2^{4197960543840} is an apocalyptic number.

4197960543840 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 4197960543840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8265291052032).

4197960543840 is an abundant number, since it is smaller than the sum of its proper divisors (12332621560224).

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

4197960543840 is a wasteful number, since it uses less digits than its factorization.

4197960543840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156819 (or 156804 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 4197960543840 in words is "four trillion, one hundred ninety-seven billion, nine hundred sixty million, five hundred forty-three thousand, eight hundred forty".