4456114806240 has 120 divisors (see below), whose sum is σ = 15726371882760. Its totient is φ = 1188297278208.

The previous prime is 4456114806197. The next prime is 4456114806293. The reversal of 4456114806240 is 426084116544.

4456114806240 is a `hidden beast` number, since 4 + 4 + 5 + 6 + 1 + 14 + 8 + 0 + 624 + 0 = 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 (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 171905050 + ... + 171930969.

It is an arithmetic number, because the mean of its divisors is an integer number (131053099023).

Almost surely, 2^{4456114806240} is an apocalyptic number.

4456114806240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4456114806240 is an abundant number, since it is smaller than the sum of its proper divisors (11270257076520).

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

4456114806240 is a wasteful number, since it uses less digits than its factorization.

4456114806240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343836046 (or 343836029 counting only the distinct ones).

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

The spelling of 4456114806240 in words is "four trillion, four hundred fifty-six billion, one hundred fourteen million, eight hundred six thousand, two hundred forty".