6014213040 has 240 divisors, whose sum is σ = 20781107424. Its totient is φ = 1437511680.

The previous prime is 6014213039. The next prime is 6014213059. The reversal of 6014213040 is 403124106.

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 = 6014212998 and 6014213016.

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, 2118502 + ... + 2121338.

Almost surely, 2^6014213040 is an apocalyptic number.

6014213040 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 6014213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10390553712).

6014213040 is an abundant number, since it is smaller than the sum of its proper divisors (14766894384).

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

6014213040 is a wasteful number, since it uses less digits than its factorization.

6014213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2948 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 6014213040 is about 77551.3574349282. The cubic root of 6014213040 is about 1818.5542840141.

Adding to 6014213040 its reverse (403124106), we get a palindrome (6417337146).

The spelling of 6014213040 in words is "six billion, fourteen million, two hundred thirteen thousand, forty".