384142746240 has 960 divisors, whose sum is σ = 1541158375680. Its totient is φ = 91074170880.

The previous prime is 384142746223. The next prime is 384142746307. The reversal of 384142746240 is 42647241483.

384142746240 is a `hidden beast` number, since 3 + 8 + 4 + 14 + 2 + 7 + 4 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 294813429 + ... + 294814731.

It is an arithmetic number, because the mean of its divisors is an integer number (1605373308).

Almost surely, 2^384142746240 is an apocalyptic number.

384142746240 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 384142746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770579187840).

384142746240 is an abundant number, since it is smaller than the sum of its proper divisors (1157015629440).

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

384142746240 is a wasteful number, since it uses less digits than its factorization.

384142746240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 384142746240 in words is "three hundred eighty-four billion, one hundred forty-two million, seven hundred forty-six thousand, two hundred forty".