394146950400 has 432 divisors, whose sum is σ = 1651772752000. Its totient is φ = 90090455040.

The previous prime is 394146950387. The next prime is 394146950419. The reversal of 394146950400 is 4059641493.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

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, 1046676 + ... + 1372524.

Almost surely, 2^394146950400 is an apocalyptic number.

394146950400 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 394146950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825886376000).

394146950400 is an abundant number, since it is smaller than the sum of its proper divisors (1257625801600).

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

394146950400 is a wasteful number, since it uses less digits than its factorization.

394146950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325891 (or 325866 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 394146950400 in words is "three hundred ninety-four billion, one hundred forty-six million, nine hundred fifty thousand, four hundred".