4120652640 has 288 divisors, whose sum is σ = 14255377920. Its totient is φ = 999917568.

The previous prime is 4120652629. The next prime is 4120652647. The reversal of 4120652640 is 462560214.

4120652640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4120652598 and 4120652607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4120652647) 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, 6408159 + ... + 6408801.

It is an arithmetic number, because the mean of its divisors is an integer number (49497840).

Almost surely, 2^4120652640 is an apocalyptic number.

4120652640 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 4120652640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7127688960).

4120652640 is an abundant number, since it is smaller than the sum of its proper divisors (10134725280).

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

4120652640 is a wasteful number, since it uses less digits than its factorization.

4120652640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 4120652640 is about 64192.3098197907. The cubic root of 4120652640 is about 1603.2035606353.

The spelling of 4120652640 in words is "four billion, one hundred twenty million, six hundred fifty-two thousand, six hundred forty".