4621905288000 has 2016 divisors, whose sum is σ = 22325085948672. Its totient is φ = 886339584000.

The previous prime is 4621905287971. The next prime is 4621905288019. The reversal of 4621905288000 is 8825091264.

4621905288000 is a `hidden beast` number, since 46 + 2 + 1 + 9 + 0 + 528 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 936933534 + ... + 936938466.

Almost surely, 2^{4621905288000} is an apocalyptic number.

4621905288000 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 4621905288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11162542974336).

4621905288000 is an abundant number, since it is smaller than the sum of its proper divisors (17703180660672).

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

4621905288000 is a wasteful number, since it uses less digits than its factorization.

4621905288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5010 (or 4974 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 4621905288000 in words is "four trillion, six hundred twenty-one billion, nine hundred five million, two hundred eighty-eight thousand".