4616535620400 has 240 divisors, whose sum is σ = 16173348434688. Its totient is φ = 1116339840000.

The previous prime is 4616535620393. The next prime is 4616535620407. The reversal of 4616535620400 is 40265356164.

It is an interprime number because it is at equal distance from previous prime (4616535620393) and next prime (4616535620407).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4616535620400² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4616535620407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4799925 + ... + 5680875.

Almost surely, 2^{4616535620400} is an apocalyptic number.

4616535620400 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 4616535620400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8086674217344).

4616535620400 is an abundant number, since it is smaller than the sum of its proper divisors (11556812814288).

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

4616535620400 is a wasteful number, since it uses less digits than its factorization.

4616535620400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881380 (or 881369 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 4616535620400 in words is "four trillion, six hundred sixteen billion, five hundred thirty-five million, six hundred twenty thousand, four hundred".