4638705160000 has 140 divisors (see below), whose sum is σ = 11505977261812. Its totient is φ = 1854918144000.

The previous prime is 4638705159997. The next prime is 4638705160009. The reversal of 4638705160000 is 615078364.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 4442888289856 + 195816870144 = 2107816^2 + 442512^2 .

It is a super-2 number, since 2×4638705160000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4638705160009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 146904214 + ... + 146935786.

Almost surely, 2^{4638705160000} is an apocalyptic number.

4638705160000 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 4638705160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5752988630906).

4638705160000 is an abundant number, since it is smaller than the sum of its proper divisors (6867272101812).

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

4638705160000 is an equidigital number, since it uses as much as digits as its factorization.

4638705160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35278 (or 35253 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 4638705160000 in words is "four trillion, six hundred thirty-eight billion, seven hundred five million, one hundred sixty thousand".