6040249519104 has 352 divisors, whose sum is σ = 18524547576000. Its totient is φ = 1941949513728.

The previous prime is 6040249519043. The next prime is 6040249519147. The reversal of 6040249519104 is 4019159420406.

6040249519104 is a `hidden beast` number, since 6 + 0 + 4 + 0 + 24 + 9 + 519 + 104 = 666.

It is a super-2 number, since 2×6040249519104² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6040249519104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 889183932 + ... + 889190724.

Almost surely, 2^{6040249519104} is an apocalyptic number.

6040249519104 is a gapful number since it is divisible by the number (64) 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 6040249519104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9262273788000).

6040249519104 is an abundant number, since it is smaller than the sum of its proper divisors (12484298056896).

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

6040249519104 is a wasteful number, since it uses less digits than its factorization.

6040249519104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7960 (or 7936 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 6040249519104 in words is "six trillion, forty billion, two hundred forty-nine million, five hundred nineteen thousand, one hundred four".