4665462400000 has 132 divisors (see below), whose sum is σ = 11657222741556. Its totient is φ = 1866183680000.

The previous prime is 4665462399991. The next prime is 4665462400003. The reversal of 4665462400000 is 42645664.

It can be written as a sum of positive squares in 6 ways, for example, as 4002944541696 + 662517858304 = 2000736^2 + 813952^2 .

It is not an unprimeable number, because it can be changed into a prime (4665462400003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2471022 + ... + 3928978.

Almost surely, 2^{4665462400000} is an apocalyptic number.

4665462400000 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 4665462400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5828611370778).

4665462400000 is an abundant number, since it is smaller than the sum of its proper divisors (6991760341556).

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

4665462400000 is an frugal number, since it uses more digits than its factorization.

4665462400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458002 (or 1457964 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 4665462400000 in words is "four trillion, six hundred sixty-five billion, four hundred sixty-two million, four hundred thousand".