4841284400640 has 120 divisors (see below), whose sum is σ = 16766729570448. Its totient is φ = 1291009167360.

The previous prime is 4841284400611. The next prime is 4841284400683. The reversal of 4841284400640 is 460044821484.

4841284400640 is a `hidden beast` number, since 4 + 84 + 128 + 4 + 400 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105039556 + ... + 105085635.

Almost surely, 2^{4841284400640} is an apocalyptic number.

4841284400640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4841284400640 is an abundant number, since it is smaller than the sum of its proper divisors (11925445169808).

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

4841284400640 is a wasteful number, since it uses less digits than its factorization.

4841284400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210125220 (or 210125201 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 4841284400640 in words is "four trillion, eight hundred forty-one billion, two hundred eighty-four million, four hundred thousand, six hundred forty".