42404153246208 has 1600 divisors, whose sum is σ = 144673102328832. Its totient is φ = 12325425315840.

The previous prime is 42404153246197. The next prime is 42404153246209. The reversal of 42404153246208 is 80264235140424.

42404153246208 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 4 + 15 + 3 + 2 + 4 + 620 + 8 = 666.

It is a super-3 number, since 3×42404153246208³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (42404153246209) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 215249508766 + ... + 215249508962.

Almost surely, 2^{42404153246208} is an apocalyptic number.

42404153246208 is a gapful number since it is divisible by the number (48) 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 42404153246208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72336551164416).

42404153246208 is an abundant number, since it is smaller than the sum of its proper divisors (102268949082624).

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

42404153246208 is an frugal number, since it uses more digits than its factorization.

42404153246208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 42404153246208 in words is "forty-two trillion, four hundred four billion, one hundred fifty-three million, two hundred forty-six thousand, two hundred eight".