4492016640 has 264 divisors, whose sum is σ = 15795438048. Its totient is φ = 1180139520.

The previous prime is 4492016623. The next prime is 4492016693. The reversal of 4492016640 is 466102944.

4492016640 is a `hidden beast` number, since 4 + 4 + 9 + 2 + 0 + 1 + 6 + 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 = 4492016595 and 4492016604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3270994 + ... + 3272366.

Almost surely, 2^4492016640 is an apocalyptic number.

4492016640 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 4492016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7897719024).

4492016640 is an abundant number, since it is smaller than the sum of its proper divisors (11303421408).

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

4492016640 is a wasteful number, since it uses less digits than its factorization.

4492016640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1454 counting only the distinct ones).

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

The square root of 4492016640 is about 67022.5084579800. The cubic root of 4492016640 is about 1649.9867326757.

The spelling of 4492016640 in words is "four billion, four hundred ninety-two million, sixteen thousand, six hundred forty".