4196312640 has 672 divisors, whose sum is σ = 17374331520. Its totient is φ = 918355968.

The previous prime is 4196312633. The next prime is 4196312641. The reversal of 4196312640 is 462136914.

4196312640 is a `hidden beast` number, since 4 + 1 + 9 + 6 + 3 + 1 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4196312595 and 4196312604.

It is not an unprimeable number, because it can be changed into a prime (4196312641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12092947 + ... + 12093293.

It is an arithmetic number, because the mean of its divisors is an integer number (25854660).

Almost surely, 2^4196312640 is an apocalyptic number.

4196312640 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 4196312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8687165760).

4196312640 is an abundant number, since it is smaller than the sum of its proper divisors (13178018880).

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

4196312640 is a wasteful number, since it uses less digits than its factorization.

4196312640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4196312640 is about 64778.9521372490. The cubic root of 4196312640 is about 1612.9563417271.

The spelling of 4196312640 in words is "four billion, one hundred ninety-six million, three hundred twelve thousand, six hundred forty".