4502120040 has 192 divisors, whose sum is σ = 16394002560. Its totient is φ = 1061890560.

The previous prime is 4502119969. The next prime is 4502120041. The reversal of 4502120040 is 400212054.

4502120040 is a `hidden beast` number, since 4 + 502 + 120 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4502119995 and 4502120022.

It is not an unprimeable number, because it can be changed into a prime (4502120041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131157 + ... + 161883.

It is an arithmetic number, because the mean of its divisors is an integer number (85385430).

Almost surely, 2^4502120040 is an apocalyptic number.

4502120040 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 4502120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8197001280).

4502120040 is an abundant number, since it is smaller than the sum of its proper divisors (11891882520).

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

4502120040 is a wasteful number, since it uses less digits than its factorization.

4502120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30792 (or 30785 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4502120040 is about 67097.8393094740. The cubic root of 4502120040 is about 1651.2228510702. Note that the first 3 decimals are identical.

Adding to 4502120040 its reverse (400212054), we get a palindrome (4902332094).

The spelling of 4502120040 in words is "four billion, five hundred two million, one hundred twenty thousand, forty".