4101992640 has 336 divisors, whose sum is σ = 14514271200. Its totient is φ = 1063010304.

The previous prime is 4101992599. The next prime is 4101992659. The reversal of 4101992640 is 462991014.

It is a happy number.

4101992640 is a `hidden beast` number, since 4 + 1 + 0 + 1 + 9 + 9 + 2 + 640 = 666.

It is a super-2 number, since 2×4101992640² = 33652687237228339200, which contains 22 as substring.

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 = 4101992595 and 4101992604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22916071 + ... + 22916249.

Almost surely, 2^4101992640 is an apocalyptic number.

4101992640 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 4101992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257135600).

4101992640 is an abundant number, since it is smaller than the sum of its proper divisors (10412278560).

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

4101992640 is a wasteful number, since it uses less digits than its factorization.

4101992640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 4101992640 is about 64046.8003884659. The cubic root of 4101992640 is about 1600.7799114412.

The spelling of 4101992640 in words is "four billion, one hundred one million, nine hundred ninety-two thousand, six hundred forty".