4542084896400 has 90 divisors (see below), whose sum is σ = 15762296293250. Its totient is φ = 1211222638080.

The previous prime is 4542084896389. The next prime is 4542084896407. The reversal of 4542084896400 is 46984802454.

It is a happy number.

4542084896400 is a `hidden beast` number, since 4 + 5 + 420 + 84 + 89 + 64 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 25456840704 + 4516628055696 = 159552^2 + 2125236^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×4542084896400² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4542084896407) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 630841525 + ... + 630848724.

Almost surely, 2^{4542084896400} is an apocalyptic number.

4542084896400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4542084896400 is an abundant number, since it is smaller than the sum of its proper divisors (11220211396850).

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

4542084896400 is a wasteful number, since it uses less digits than its factorization.

4542084896400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261690273 (or 1261690259 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 4542084896400 in words is "four trillion, five hundred forty-two billion, eighty-four million, eight hundred ninety-six thousand, four hundred".