4511921040 has 960 divisors, whose sum is σ = 19253624832. Its totient is φ = 932659200.

The previous prime is 4511921027. The next prime is 4511921047. The reversal of 4511921040 is 401291154.

It is a junction number, because it is equal to n+sod(n) for n = 4511920995 and 4511921013.

It is not an unprimeable number, because it can be changed into a prime (4511921047) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95998297 + ... + 95998343.

Almost surely, 2^4511921040 is an apocalyptic number.

4511921040 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 4511921040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9626812416).

4511921040 is an abundant number, since it is smaller than the sum of its proper divisors (14741703792).

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

4511921040 is a wasteful number, since it uses less digits than its factorization.

4511921040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 4511921040 is about 67170.8347424684. The cubic root of 4511921040 is about 1652.4202059027.

The spelling of 4511921040 in words is "four billion, five hundred eleven million, nine hundred twenty-one thousand, forty".