394506081482400 has 2016 divisors, whose sum is σ = 1546749577691136. Its totient is φ = 97865625600000.

The previous prime is 394506081482389. The next prime is 394506081482419. The reversal of 394506081482400 is 4284180605493.

394506081482400 is a `hidden beast` number, since 3 + 9 + 4 + 5 + 0 + 608 + 1 + 4 + 8 + 24 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 342750721825 + ... + 342750722975.

It is an arithmetic number, because the mean of its divisors is an integer number (767236893696).

Almost surely, 2^{394506081482400} is an apocalyptic number.

394506081482400 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 394506081482400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773374788845568).

394506081482400 is an abundant number, since it is smaller than the sum of its proper divisors (1152243496208736).

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

394506081482400 is a wasteful number, since it uses less digits than its factorization.

394506081482400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 394506081482400 in words is "three hundred ninety-four trillion, five hundred six billion, eighty-one million, four hundred eighty-two thousand, four hundred".