4046192640 has 456 divisors, whose sum is σ = 16357754400. Its totient is φ = 924844032.

The previous prime is 4046192639. The next prime is 4046192641. The reversal of 4046192640 is 462916404.

4046192640 is a `hidden beast` number, since 4 + 0 + 4 + 6 + 1 + 9 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (4046192639) and next prime (4046192641).

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 = 4046192595 and 4046192604.

It is not an unprimeable number, because it can be changed into a prime (4046192641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 578027517 + ... + 578027523.

Almost surely, 2^4046192640 is an apocalyptic number.

4046192640 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 4046192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8178877200).

4046192640 is an abundant number, since it is smaller than the sum of its proper divisors (12311561760).

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

4046192640 is an frugal number, since it uses more digits than its factorization.

4046192640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4046192640 is about 63609.6898278871. The cubic root of 4046192640 is about 1593.4882004115.

The spelling of 4046192640 in words is "four billion, forty-six million, one hundred ninety-two thousand, six hundred forty".