395218501440 has 896 divisors, whose sum is σ = 1561122201600. Its totient is φ = 82691850240.

The previous prime is 395218501411. The next prime is 395218501441. The reversal of 395218501440 is 44105812593.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 395218501392 and 395218501401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395218501441) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1270798885 + ... + 1270799195.

Almost surely, 2^395218501440 is an apocalyptic number.

395218501440 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 395218501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780561100800).

395218501440 is an abundant number, since it is smaller than the sum of its proper divisors (1165903700160).

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

395218501440 is a wasteful number, since it uses less digits than its factorization.

395218501440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 395218501440 in words is "three hundred ninety-five billion, two hundred eighteen million, five hundred one thousand, four hundred forty".