395500884018240 has 5376 divisors, whose sum is σ = 1841160473542656. Its totient is φ = 69419350425600.

The previous prime is 395500884018239. The next prime is 395500884018277. The reversal of 395500884018240 is 42810488005593.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2070685256545 + ... + 2070685256735.

It is an arithmetic number, because the mean of its divisors is an integer number (342477766656).

Almost surely, 2^{395500884018240} is an apocalyptic number.

395500884018240 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 395500884018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920580236771328).

395500884018240 is an abundant number, since it is smaller than the sum of its proper divisors (1445659589524416).

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

395500884018240 is a wasteful number, since it uses less digits than its factorization.

395500884018240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 57.

The spelling of 395500884018240 in words is "three hundred ninety-five trillion, five hundred billion, eight hundred eighty-four million, eighteen thousand, two hundred forty".