4656415409100 has 972 divisors, whose sum is σ = 18502268888376. Its totient is φ = 976170424320.

The previous prime is 4656415409089. The next prime is 4656415409131. The reversal of 4656415409100 is 19045146564.

4656415409100 is a `hidden beast` number, since 4 + 6 + 56 + 41 + 540 + 9 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 1214820784 + ... + 1214824616.

It is an arithmetic number, because the mean of its divisors is an integer number (19035256058).

Almost surely, 2^{4656415409100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4656415409100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9251134444188).

4656415409100 is an abundant number, since it is smaller than the sum of its proper divisors (13845853479276).

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

4656415409100 is a wasteful number, since it uses less digits than its factorization.

4656415409100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056 (or 4026 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 4656415409100 in words is "four trillion, six hundred fifty-six billion, four hundred fifteen million, four hundred nine thousand, one hundred".