6414539040 has 1152 divisors, whose sum is σ = 29279577600. Its totient is φ = 1316818944.

The previous prime is 6414539017. The next prime is 6414539071. The reversal of 6414539040 is 409354146.

6414539040 is a `hidden beast` number, since 641 + 4 + 5 + 3 + 9 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×6414539040² = 82292622191368243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6414538986 and 6414539004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 173365902 + ... + 173365938.

It is an arithmetic number, because the mean of its divisors is an integer number (25416300).

Almost surely, 2^6414539040 is an apocalyptic number.

6414539040 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 6414539040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14639788800).

6414539040 is an abundant number, since it is smaller than the sum of its proper divisors (22865038560).

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

6414539040 is a wasteful number, since it uses less digits than its factorization.

6414539040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6414539040 is about 80090.8174511910. The cubic root of 6414539040 is about 1858.0403919499.

The spelling of 6414539040 in words is "six billion, four hundred fourteen million, five hundred thirty-nine thousand, forty".