6190041312 has 576 divisors, whose sum is σ = 23599779840. Its totient is φ = 1492992000.

The previous prime is 6190041311. The next prime is 6190041337. The reversal of 6190041312 is 2131400916.

6190041312 is a `hidden beast` number, since 619 + 0 + 0 + 41 + 3 + 1 + 2 = 666.

It is a super-2 number, since 2×6190041312² = 76633222888533362688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6190041311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15436312 + ... + 15436712.

It is an arithmetic number, because the mean of its divisors is an integer number (40971840).

Almost surely, 2^6190041312 is an apocalyptic number.

6190041312 is a gapful number since it is divisible by the number (62) 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 6190041312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11799889920).

6190041312 is an abundant number, since it is smaller than the sum of its proper divisors (17409738528).

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

6190041312 is a wasteful number, since it uses less digits than its factorization.

6190041312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 6190041312 is about 78676.8155939219. The cubic root of 6190041312 is about 1836.1064201347.

The spelling of 6190041312 in words is "six billion, one hundred ninety million, forty-one thousand, three hundred twelve".