427188902400 has 480 divisors, whose sum is σ = 1688623379520. Its totient is φ = 105153085440.

The previous prime is 427188902353. The next prime is 427188902431. The reversal of 427188902400 is 4209881724.

427188902400 is a `hidden beast` number, since 427 + 188 + 9 + 0 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

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 47 ways as a sum of consecutive naturals, for example, 4445259 + ... + 4540341.

It is an arithmetic number, because the mean of its divisors is an integer number (3517965374).

Almost surely, 2^427188902400 is an apocalyptic number.

427188902400 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 427188902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844311689760).

427188902400 is an abundant number, since it is smaller than the sum of its proper divisors (1261434477120).

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

427188902400 is a wasteful number, since it uses less digits than its factorization.

427188902400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95133 (or 95106 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 427188902400 in words is "four hundred twenty-seven billion, one hundred eighty-eight million, nine hundred two thousand, four hundred".