4512977422800 has 480 divisors, whose sum is σ = 18077384592384. Its totient is φ = 934972416000.

The previous prime is 4512977422757. The next prime is 4512977422813. The reversal of 4512977422800 is 82247792154.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31066335 + ... + 31211265.

Almost surely, 2^{4512977422800} is an apocalyptic number.

4512977422800 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 4512977422800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9038692296192).

4512977422800 is an abundant number, since it is smaller than the sum of its proper divisors (13564407169584).

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

4512977422800 is a wasteful number, since it uses less digits than its factorization.

4512977422800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145307 (or 145296 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 4512977422800 in words is "four trillion, five hundred twelve billion, nine hundred seventy-seven million, four hundred twenty-two thousand, eight hundred".