394236642240 has 2520 divisors, whose sum is σ = 1878741144720. Its totient is φ = 77755023360.

The previous prime is 394236642211. The next prime is 394236642287. The reversal of 394236642240 is 42246632493.

394236642240 is a `hidden beast` number, since 3 + 9 + 4 + 2 + 366 + 42 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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 359 ways as a sum of consecutive naturals, for example, 12717311025 + ... + 12717311055.

Almost surely, 2^394236642240 is an apocalyptic number.

394236642240 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 394236642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939370572360).

394236642240 is an abundant number, since it is smaller than the sum of its proper divisors (1484504502480).

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

394236642240 is a wasteful number, since it uses less digits than its factorization.

394236642240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 394236642240 in words is "three hundred ninety-four billion, two hundred thirty-six million, six hundred forty-two thousand, two hundred forty".