42414840000 has 1400 divisors, whose sum is σ = 181464600240. Its totient is φ = 9704448000.

The previous prime is 42414839983. The next prime is 42414840001. The reversal of 42414840000 is 4841424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42414840001) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 800279974 + ... + 800280026.

Almost surely, 2^42414840000 is an apocalyptic number.

42414840000 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 42414840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90732300120).

42414840000 is an abundant number, since it is smaller than the sum of its proper divisors (139049760240).

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

42414840000 is a wasteful number, since it uses less digits than its factorization.

42414840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The spelling of 42414840000 in words is "forty-two billion, four hundred fourteen million, eight hundred forty thousand".