414642078900 has 432 divisors, whose sum is σ = 1501631389440. Its totient is φ = 93741926400.

The previous prime is 414642078839. The next prime is 414642078911. The reversal of 414642078900 is 9870246414.

414642078900 is a `hidden beast` number, since 4 + 146 + 420 + 7 + 89 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 240930040 + ... + 240931760.

Almost surely, 2^414642078900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414642078900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750815694720).

414642078900 is an abundant number, since it is smaller than the sum of its proper divisors (1086989310540).

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

414642078900 is a wasteful number, since it uses less digits than its factorization.

414642078900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 414642078900 in words is "four hundred fourteen billion, six hundred forty-two million, seventy-eight thousand, nine hundred".