4921617040 has 160 divisors (see below), whose sum is σ = 12249216000. Its totient is φ = 1835827200.

The previous prime is 4921617037. The next prime is 4921617061. The reversal of 4921617040 is 407161294.

It is a junction number, because it is equal to n+sod(n) for n = 4921616987 and 4921617005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9862711 + ... + 9863209.

It is an arithmetic number, because the mean of its divisors is an integer number (76557600).

Almost surely, 2^4921617040 is an apocalyptic number.

4921617040 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 4921617040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6124608000).

4921617040 is an abundant number, since it is smaller than the sum of its proper divisors (7327598960).

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

4921617040 is a wasteful number, since it uses less digits than its factorization.

4921617040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 4921617040 is about 70154.2375056561. The cubic root of 4921617040 is about 1700.9933110748.

The spelling of 4921617040 in words is "four billion, nine hundred twenty-one million, six hundred seventeen thousand, forty".