42788314497600 has 1344 divisors, whose sum is σ = 184528623697920. Its totient is φ = 9438147993600.

The previous prime is 42788314497587. The next prime is 42788314497601. The reversal of 42788314497600 is 679441388724.

42788314497600 is a `hidden beast` number, since 4 + 2 + 7 + 8 + 8 + 3 + 14 + 4 + 9 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (42788314497601) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 3440398582 + ... + 3440411018.

Almost surely, 2^{42788314497600} is an apocalyptic number.

42788314497600 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 42788314497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92264311848960).

42788314497600 is an abundant number, since it is smaller than the sum of its proper divisors (141740309200320).

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

42788314497600 is a wasteful number, since it uses less digits than its factorization.

42788314497600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12873 (or 12852 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 42788314497600 in words is "forty-two trillion, seven hundred eighty-eight billion, three hundred fourteen million, four hundred ninety-seven thousand, six hundred".