42608614455400 has 192 divisors, whose sum is σ = 115900089598080. Its totient is φ = 14265098265600.

The previous prime is 42608614455389. The next prime is 42608614455437. The reversal of 42608614455400 is 455441680624.

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 47 ways as a sum of consecutive naturals, for example, 14295442 + ... + 17016958.

It is an arithmetic number, because the mean of its divisors is an integer number (603646299990).

Almost surely, 2^{42608614455400} is an apocalyptic number.

42608614455400 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 42608614455400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57950044799040).

42608614455400 is an abundant number, since it is smaller than the sum of its proper divisors (73291475142680).

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

42608614455400 is a wasteful number, since it uses less digits than its factorization.

42608614455400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721804 (or 2721795 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 49.

The spelling of 42608614455400 in words is "forty-two trillion, six hundred eight billion, six hundred fourteen million, four hundred fifty-five thousand, four hundred".