4601202278400 has 2448 divisors, whose sum is σ = 21203018031104. Its totient is φ = 963158999040.

The previous prime is 4601202278377. The next prime is 4601202278417. The reversal of 4601202278400 is 48722021064.

4601202278400 is a `hidden beast` number, since 4 + 6 + 0 + 1 + 20 + 227 + 8 + 400 = 666.

It is a super-2 number, since 2×4601202278400² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36229939137 + ... + 36229939263.

Almost surely, 2^{4601202278400} is an apocalyptic number.

4601202278400 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 4601202278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10601509015552).

4601202278400 is an abundant number, since it is smaller than the sum of its proper divisors (16601815752704).

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

4601202278400 is an equidigital number, since it uses as much as digits as its factorization.

4601202278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 4601202278400 its reverse (48722021064), we get a palindrome (4649924299464).

The spelling of 4601202278400 in words is "four trillion, six hundred one billion, two hundred two million, two hundred seventy-eight thousand, four hundred".