4618820102400 has 1080 divisors, whose sum is σ = 19660140906560. Its totient is φ = 1048020664320.

The previous prime is 4618820102339. The next prime is 4618820102401. The reversal of 4618820102400 is 42010288164.

4618820102400 is a `hidden beast` number, since 4 + 618 + 8 + 2 + 0 + 10 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4618820102401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 504398622 + ... + 504407778.

Almost surely, 2^{4618820102400} is an apocalyptic number.

4618820102400 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 4618820102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9830070453280).

4618820102400 is an abundant number, since it is smaller than the sum of its proper divisors (15041320804160).

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

4618820102400 is a wasteful number, since it uses less digits than its factorization.

4618820102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9341 (or 9313 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 4618820102400 in words is "four trillion, six hundred eighteen billion, eight hundred twenty million, one hundred two thousand, four hundred".