42414652800 has 288 divisors, whose sum is σ = 162988578480. Its totient is φ = 10440437760.

The previous prime is 42414652771. The next prime is 42414652829. The reversal of 42414652800 is 825641424.

It is an interprime number because it is at equal distance from previous prime (42414652771) and next prime (42414652829).

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 317757 + ... + 431043.

Almost surely, 2^42414652800 is an apocalyptic number.

42414652800 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 42414652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81494289240).

42414652800 is an abundant number, since it is smaller than the sum of its proper divisors (120573925680).

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

42414652800 is a wasteful number, since it uses less digits than its factorization.

42414652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113330 (or 113310 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 42414652800 in words is "forty-two billion, four hundred fourteen million, six hundred fifty-two thousand, eight hundred".