4812459402240 has 2112 divisors, whose sum is σ = 21058540339200. Its totient is φ = 1029376180224.

The previous prime is 4812459402209. The next prime is 4812459402251. The reversal of 4812459402240 is 422049542184.

4812459402240 is a `hidden beast` number, since 4 + 8 + 12 + 4 + 594 + 0 + 2 + 2 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21015106446 + ... + 21015106674.

Almost surely, 2^{4812459402240} is an apocalyptic number.

4812459402240 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 4812459402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10529270169600).

4812459402240 is an abundant number, since it is smaller than the sum of its proper divisors (16246080936960).

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

4812459402240 is a wasteful number, since it uses less digits than its factorization.

4812459402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 4812459402240 in words is "four trillion, eight hundred twelve billion, four hundred fifty-nine million, four hundred two thousand, two hundred forty".