6214505040 has 240 divisors, whose sum is σ = 22412422656. Its totient is φ = 1537536000.

The previous prime is 6214505029. The next prime is 6214505071. The reversal of 6214505040 is 405054126.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 6214504995 and 6214505013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 865465 + ... + 872615.

Almost surely, 2^6214505040 is an apocalyptic number.

6214505040 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 6214505040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11206211328).

6214505040 is an abundant number, since it is smaller than the sum of its proper divisors (16197917616).

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

6214505040 is a wasteful number, since it uses less digits than its factorization.

6214505040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7258 (or 7249 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 6214505040 is about 78832.1320274924. The cubic root of 6214505040 is about 1838.5220725090.

Adding to 6214505040 its reverse (405054126), we get a palindrome (6619559166).

The spelling of 6214505040 in words is "six billion, two hundred fourteen million, five hundred five thousand, forty".