6040029828096 has 1408 divisors, whose sum is σ = 21076147814400. Its totient is φ = 1691102085120.

The previous prime is 6040029828089. The next prime is 6040029828113. The reversal of 6040029828096 is 6908289200406.

It is a happy number.

6040029828096 is a `hidden beast` number, since 60 + 400 + 2 + 98 + 2 + 8 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27085335441 + ... + 27085335663.

Almost surely, 2^{6040029828096} is an apocalyptic number.

6040029828096 is a gapful number since it is divisible by the number (66) 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 6040029828096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10538073907200).

6040029828096 is an abundant number, since it is smaller than the sum of its proper divisors (15036117986304).

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

6040029828096 is a wasteful number, since it uses less digits than its factorization.

6040029828096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 6040029828096 in words is "six trillion, forty billion, twenty-nine million, eight hundred twenty-eight thousand, ninety-six".