6418039151040 has 896 divisors, whose sum is σ = 23683410616320. Its totient is φ = 1457259724800.

The previous prime is 6418039151033. The next prime is 6418039151059. The reversal of 6418039151040 is 401519308146.

It is a junction number, because it is equal to n+sod(n) for n = 6418039150983 and 6418039151001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2945404671 + ... + 2945406849.

It is an arithmetic number, because the mean of its divisors is an integer number (26432377920).

Almost surely, 2^{6418039151040} is an apocalyptic number.

6418039151040 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 6418039151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11841705308160).

6418039151040 is an abundant number, since it is smaller than the sum of its proper divisors (17265371465280).

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

6418039151040 is a wasteful number, since it uses less digits than its factorization.

6418039151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2481 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 6418039151040 in words is "six trillion, four hundred eighteen billion, thirty-nine million, one hundred fifty-one thousand, forty".