384240019598240 has 384 divisors, whose sum is σ = 1002545662712832. Its totient is φ = 138278291374080.

The previous prime is 384240019598173. The next prime is 384240019598257. The reversal of 384240019598240 is 42895910042483.

It is a super-2 number, since 2×384240019598240² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 384240019598240.

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, 35280503195 + ... + 35280514085.

It is an arithmetic number, because the mean of its divisors is an integer number (2610795996648).

Almost surely, 2^{384240019598240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384240019598240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501272831356416).

384240019598240 is an abundant number, since it is smaller than the sum of its proper divisors (618305643114592).

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

384240019598240 is a wasteful number, since it uses less digits than its factorization.

384240019598240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12432 (or 12424 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 59.

The spelling of 384240019598240 in words is "three hundred eighty-four trillion, two hundred forty billion, nineteen million, five hundred ninety-eight thousand, two hundred forty".