4918785386400 has 108 divisors (see below), whose sum is σ = 17344866994182. Its totient is φ = 1311676101120.

The previous prime is 4918785386369. The next prime is 4918785386407. The reversal of 4918785386400 is 46835878194.

4918785386400 is a `hidden beast` number, since 4 + 91 + 8 + 7 + 8 + 538 + 6 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2299553879184 + 2619231507216 = 1516428^2 + 1618404^2 .

It is not an unprimeable number, because it can be changed into a prime (4918785386407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 341575119 + ... + 341589518.

Almost surely, 2^{4918785386400} is an apocalyptic number.

4918785386400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4918785386400 is an abundant number, since it is smaller than the sum of its proper divisors (12426081607782).

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

4918785386400 is a wasteful number, since it uses less digits than its factorization.

4918785386400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683164663 (or 683164647 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 4918785386400 in words is "four trillion, nine hundred eighteen billion, seven hundred eighty-five million, three hundred eighty-six thousand, four hundred".