4197076040 has 64 divisors (see below), whose sum is σ = 9798148800. Its totient is φ = 1616113408.

The previous prime is 4197076007. The next prime is 4197076043. The reversal of 4197076040 is 406707914.

It is a junction number, because it is equal to n+sod(n) for n = 4197075985 and 4197076003.

It is not an unprimeable number, because it can be changed into a prime (4197076043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397307 + ... + 407733.

It is an arithmetic number, because the mean of its divisors is an integer number (153096075).

Almost surely, 2^4197076040 is an apocalyptic number.

4197076040 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 4197076040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4899074400).

4197076040 is an abundant number, since it is smaller than the sum of its proper divisors (5601072760).

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

4197076040 is a wasteful number, since it uses less digits than its factorization.

4197076040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10814 (or 10810 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 4197076040 is about 64784.8442152947. The cubic root of 4197076040 is about 1613.0541463408.

The spelling of 4197076040 in words is "four billion, one hundred ninety-seven million, seventy-six thousand, forty".