394149888000 has 1152 divisors, whose sum is σ = 1609599962880. Its totient is φ = 95551488000.

The previous prime is 394149887981. The next prime is 394149888101. The reversal of 394149888000 is 888941493.

394149888000 is a `hidden beast` number, since 39 + 41 + 498 + 8 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35831807995 + ... + 35831808005.

It is an arithmetic number, because the mean of its divisors is an integer number (1397222190).

Almost surely, 2^394149888000 is an apocalyptic number.

394149888000 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 394149888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804799981440).

394149888000 is an abundant number, since it is smaller than the sum of its proper divisors (1215450074880).

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

394149888000 is an frugal number, since it uses more digits than its factorization.

394149888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 394149888000 in words is "three hundred ninety-four billion, one hundred forty-nine million, eight hundred eighty-eight thousand".