185420426400 has 288 divisors, whose sum is σ = 731568801600. Its totient is φ = 44950348800.

The previous prime is 185420426363. The next prime is 185420426431. The reversal of 185420426400 is 4624024581.

185420426400 is a `hidden beast` number, since 1 + 8 + 5 + 4 + 2 + 0 + 4 + 2 + 640 + 0 = 666.

185420426400 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152595 + ... + 627794.

It is an arithmetic number, because the mean of its divisors is an integer number (2540169450).

Almost surely, 2^185420426400 is an apocalyptic number.

185420426400 is a gapful number since it is divisible by the number (10) 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 185420426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365784400800).

185420426400 is an abundant number, since it is smaller than the sum of its proper divisors (546148375200).

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

185420426400 is a wasteful number, since it uses less digits than its factorization.

185420426400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780429 (or 780410 counting only the distinct ones).

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

The spelling of 185420426400 in words is "one hundred eighty-five billion, four hundred twenty million, four hundred twenty-six thousand, four hundred".