42208778304 has 1008 divisors, whose sum is σ = 166411290240. Its totient is φ = 9926737920.

The previous prime is 42208778291. The next prime is 42208778317. The reversal of 42208778304 is 40387780224.

It is an interprime number because it is at equal distance from previous prime (42208778291) and next prime (42208778317).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×42208778304² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42208778304.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 474255892 + ... + 474255980.

Almost surely, 2^42208778304 is an apocalyptic number.

42208778304 is a gapful number since it is divisible by the number (44) 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 42208778304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83205645120).

42208778304 is an abundant number, since it is smaller than the sum of its proper divisors (124202511936).

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

42208778304 is a wasteful number, since it uses less digits than its factorization.

42208778304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 42208778304 in words is "forty-two billion, two hundred eight million, seven hundred seventy-eight thousand, three hundred four".