4197013840 has 40 divisors (see below), whose sum is σ = 9773122248. Its totient is φ = 1676213760.

The previous prime is 4197013837. The next prime is 4197013861. The reversal of 4197013840 is 483107914.

It can be written as a sum of positive squares in 4 ways, for example, as 624800016 + 3572213824 = 24996^2 + 59768^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4197013840² = 35229850346303091200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4197013840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12070 + ... + 92410.

Almost surely, 2^4197013840 is an apocalyptic number.

4197013840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4197013840 is an abundant number, since it is smaller than the sum of its proper divisors (5576108408).

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

4197013840 is a wasteful number, since it uses less digits than its factorization.

4197013840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81007 (or 81001 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 4197013840 is about 64784.3641629676. The cubic root of 4197013840 is about 1613.0461778994.

The spelling of 4197013840 in words is "four billion, one hundred ninety-seven million, thirteen thousand, eight hundred forty".