394147222318080 has 4224 divisors, whose sum is σ = 1932983842406400. Its totient is φ = 74207037358080.

The previous prime is 394147222318079. The next prime is 394147222318093. The reversal of 394147222318080 is 80813222741493.

394147222318080 is a `hidden beast` number, since 3 + 9 + 41 + 472 + 22 + 31 + 8 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a super-2 number, since 2×394147222318080² (a number of 30 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 51168011509 + ... + 51168019211.

Almost surely, 2^{394147222318080} is an apocalyptic number.

394147222318080 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 394147222318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966491921203200).

394147222318080 is an abundant number, since it is smaller than the sum of its proper divisors (1538836620088320).

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

394147222318080 is a wasteful number, since it uses less digits than its factorization.

394147222318080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7808 (or 7773 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 394147222318080 in words is "three hundred ninety-four trillion, one hundred forty-seven billion, two hundred twenty-two million, three hundred eighteen thousand, eighty".