42121814400 has 576 divisors, whose sum is σ = 164128036800. Its totient is φ = 10637568000.

The previous prime is 42121814393. The next prime is 42121814437. The reversal of 42121814400 is 441812124.

42121814400 is a `hidden beast` number, since 4 + 2 + 1 + 218 + 1 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14772975 + ... + 14775825.

Almost surely, 2^42121814400 is an apocalyptic number.

42121814400 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 42121814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82064018400).

42121814400 is an abundant number, since it is smaller than the sum of its proper divisors (122006222400).

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

42121814400 is a wasteful number, since it uses less digits than its factorization.

42121814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 42121814400 in words is "forty-two billion, one hundred twenty-one million, eight hundred fourteen thousand, four hundred".