4652064040 has 96 divisors (see below), whose sum is σ = 11398002840. Its totient is φ = 1698739200.

The previous prime is 4652064013. The next prime is 4652064049. The reversal of 4652064040 is 404602564.

It can be written as a sum of positive squares in 12 ways, for example, as 2859896484 + 1792167556 = 53478^2 + 42334^2 .

It is a super-2 number, since 2×4652064040² = 43283399664522243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4652063993 and 4652064011.

It is not an unprimeable number, because it can be changed into a prime (4652064049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5304082 + ... + 5304958.

Almost surely, 2^4652064040 is an apocalyptic number.

4652064040 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 4652064040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5699001420).

4652064040 is an abundant number, since it is smaller than the sum of its proper divisors (6745938800).

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

4652064040 is a wasteful number, since it uses less digits than its factorization.

4652064040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 4652064040 is about 68206.0410814174. The cubic root of 4652064040 is about 1669.3544590443.

The spelling of 4652064040 in words is "four billion, six hundred fifty-two million, sixty-four thousand, forty".