396182426400 has 288 divisors, whose sum is σ = 1466185533120. Its totient is φ = 103191459840.

The previous prime is 396182426389. The next prime is 396182426429. The reversal of 396182426400 is 4624281693.

396182426400 is a `hidden beast` number, since 3 + 9 + 6 + 182 + 426 + 40 + 0 = 666.

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 715524 + ... + 1142076.

It is an arithmetic number, because the mean of its divisors is an integer number (5090921990).

Almost surely, 2^396182426400 is an apocalyptic number.

396182426400 is a gapful number since it is divisible by the number (30) 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 396182426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733092766560).

396182426400 is an abundant number, since it is smaller than the sum of its proper divisors (1070003106720).

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

396182426400 is a wasteful number, since it uses less digits than its factorization.

396182426400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426625 (or 426606 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 396182426400 in words is "three hundred ninety-six billion, one hundred eighty-two million, four hundred twenty-six thousand, four hundred".