42414416640 has 288 divisors, whose sum is σ = 151490324160. Its totient is φ = 11237031936.

The previous prime is 42414416621. The next prime is 42414416657. The reversal of 42414416640 is 4661441424.

42414416640 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 4 + 4 + 1 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42414416595 and 42414416604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5422012 + ... + 5429828.

It is an arithmetic number, because the mean of its divisors is an integer number (526008070).

Almost surely, 2^42414416640 is an apocalyptic number.

42414416640 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 42414416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75745162080).

42414416640 is an abundant number, since it is smaller than the sum of its proper divisors (109075907520).

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

42414416640 is a wasteful number, since it uses less digits than its factorization.

42414416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8004 (or 7984 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 42414416640 in words is "forty-two billion, four hundred fourteen million, four hundred sixteen thousand, six hundred forty".