6149855926440 has 896 divisors, whose sum is σ = 22772330772480. Its totient is φ = 1489147545600.

The previous prime is 6149855926421. The next prime is 6149855926477. The reversal of 6149855926440 is 446295589416.

6149855926440 is a `hidden beast` number, since 6 + 1 + 49 + 85 + 59 + 26 + 440 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1101924450 + ... + 1101930030.

Almost surely, 2^{6149855926440} is an apocalyptic number.

6149855926440 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 6149855926440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11386165386240).

6149855926440 is an abundant number, since it is smaller than the sum of its proper divisors (16622474846040).

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

6149855926440 is a wasteful number, since it uses less digits than its factorization.

6149855926440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5717 (or 5698 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 6149855926440 in words is "six trillion, one hundred forty-nine billion, eight hundred fifty-five million, nine hundred twenty-six thousand, four hundred forty".