4621010284800 has 1296 divisors, whose sum is σ = 21530245726080. Its totient is φ = 917612789760.

The previous prime is 4621010284771. The next prime is 4621010284801. The reversal of 4621010284800 is 84820101264.

4621010284800 is a `hidden beast` number, since 4 + 62 + 10 + 102 + 8 + 480 + 0 = 666.

It is a super-2 number, since 2×4621010284800² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4621010284801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 89081271 + ... + 89133129.

Almost surely, 2^{4621010284800} is an apocalyptic number.

4621010284800 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 4621010284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10765122863040).

4621010284800 is an abundant number, since it is smaller than the sum of its proper divisors (16909235441280).

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

4621010284800 is a wasteful number, since it uses less digits than its factorization.

4621010284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51928 (or 51906 counting only the distinct ones).

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

The spelling of 4621010284800 in words is "four trillion, six hundred twenty-one billion, ten million, two hundred eighty-four thousand, eight hundred".