6414803040 has 192 divisors, whose sum is σ = 21181450752. Its totient is φ = 1628774400.

The previous prime is 6414803027. The next prime is 6414803041. The reversal of 6414803040 is 403084146.

It is a super-2 number, since 2×6414803040² = 82299396083986483200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6414802989 and 6414803007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6414803041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2659435 + ... + 2661845.

It is an arithmetic number, because the mean of its divisors is an integer number (110320056).

Almost surely, 2^6414803040 is an apocalyptic number.

6414803040 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 6414803040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10590725376).

6414803040 is an abundant number, since it is smaller than the sum of its proper divisors (14766647712).

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

6414803040 is a wasteful number, since it uses less digits than its factorization.

6414803040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2693 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 6414803040 is about 80092.4655632476. The cubic root of 6414803040 is about 1858.0658817490.

Adding to 6414803040 its reverse (403084146), we get a palindrome (6817887186).

The spelling of 6414803040 in words is "six billion, four hundred fourteen million, eight hundred three thousand, forty".