4635158720000 has 400 divisors, whose sum is σ = 12403152745632. Its totient is φ = 1725419520000.

The previous prime is 4635158719969. The next prime is 4635158720009. The reversal of 4635158720000 is 278515364.

It is a tau number, because it is divible by the number of its divisors (400).

It is a self number, because there is not a number n which added to its sum of digits gives 4635158720000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4635158720009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 272311490 + ... + 272328510.

Almost surely, 2^{4635158720000} is an apocalyptic number.

4635158720000 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 4635158720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6201576372816).

4635158720000 is an abundant number, since it is smaller than the sum of its proper divisors (7767994025632).

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

4635158720000 is an equidigital number, since it uses as much as digits as its factorization.

4635158720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17119 (or 17088 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The spelling of 4635158720000 in words is "four trillion, six hundred thirty-five billion, one hundred fifty-eight million, seven hundred twenty thousand".