4901091840 has 640 divisors, whose sum is σ = 19056280320. Its totient is φ = 1189085184.

The previous prime is 4901091809. The next prime is 4901091859. The reversal of 4901091840 is 481901094.

4901091840 is a `hidden beast` number, since 490 + 1 + 0 + 91 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×4901091840² = 48041402448229171200, 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 = 4901091795 and 4901091804.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50526672 + ... + 50526768.

It is an arithmetic number, because the mean of its divisors is an integer number (29775438).

Almost surely, 2^4901091840 is an apocalyptic number.

4901091840 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 4901091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9528140160).

4901091840 is an abundant number, since it is smaller than the sum of its proper divisors (14155188480).

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

4901091840 is a wasteful number, since it uses less digits than its factorization.

4901091840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 4901091840 is about 70007.7984227472. The cubic root of 4901091840 is about 1698.6253986159.

The spelling of 4901091840 in words is "four billion, nine hundred one million, ninety-one thousand, eight hundred forty".