4652006530400 has 72 divisors (see below), whose sum is σ = 11364026733864. Its totient is φ = 1859603916800.

The previous prime is 4652006530393. The next prime is 4652006530417. The reversal of 4652006530400 is 40356002564.

It is a happy number.

It is a super-2 number, since 2×4652006530400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 629786 + ... + 3114585.

It is an arithmetic number, because the mean of its divisors is an integer number (157833704637).

Almost surely, 2^{4652006530400} is an apocalyptic number.

4652006530400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4652006530400 is an abundant number, since it is smaller than the sum of its proper divisors (6712020203464).

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

4652006530400 is a wasteful number, since it uses less digits than its factorization.

4652006530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3745944 (or 3745931 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 4652006530400 in words is "four trillion, six hundred fifty-two billion, six million, five hundred thirty thousand, four hundred".