6385214040 has 128 divisors (see below), whose sum is σ = 19575889920. Its totient is φ = 1665676800.

The previous prime is 6385214039. The next prime is 6385214051. The reversal of 6385214040 is 404125836.

It is a super-2 number, since 2×6385214040² = 81541916673226243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6385213992 and 6385214010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1395837 + ... + 1400403.

It is an arithmetic number, because the mean of its divisors is an integer number (152936640).

Almost surely, 2^6385214040 is an apocalyptic number.

6385214040 is a gapful number since it is divisible by the number (60) 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 6385214040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9787944960).

6385214040 is an abundant number, since it is smaller than the sum of its proper divisors (13190675880).

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

6385214040 is a wasteful number, since it uses less digits than its factorization.

6385214040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4833 (or 4829 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 6385214040 is about 79907.5343131047. The cubic root of 6385214040 is about 1855.2046320463.

Adding to 6385214040 its reverse (404125836), we get a palindrome (6789339876).

The spelling of 6385214040 in words is "six billion, three hundred eighty-five million, two hundred fourteen thousand, forty".