6000414155040 has 96 divisors (see below), whose sum is σ = 18901643132736. Its totient is φ = 1600081781760.

The previous prime is 6000414154957. The next prime is 6000414155051. The reversal of 6000414155040 is 405514140006.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 6000414154989 and 6000414155007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50946459 + ... + 51064101.

It is an arithmetic number, because the mean of its divisors is an integer number (196892115966).

Almost surely, 2^{6000414155040} is an apocalyptic number.

6000414155040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6000414155040 is an abundant number, since it is smaller than the sum of its proper divisors (12901228977696).

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

6000414155040 is a wasteful number, since it uses less digits than its factorization.

6000414155040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223922 (or 223914 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 6000414155040 its reverse (405514140006), we get a palindrome (6405928295046).

The spelling of 6000414155040 in words is "six trillion, four hundred fourteen million, one hundred fifty-five thousand, forty".