6195229093440 has 672 divisors, whose sum is σ = 21763883787360. Its totient is φ = 1617304485888.

The previous prime is 6195229093411. The next prime is 6195229093453. The reversal of 6195229093440 is 443909225916.

6195229093440 is a `hidden beast` number, since 6 + 1 + 9 + 5 + 2 + 290 + 9 + 344 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1786841745984 + 4408387347456 = 1336728^2 + 2099616^2 .

It is a super-3 number, since 3×6195229093440³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16609193094 + ... + 16609193466.

Almost surely, 2^{6195229093440} is an apocalyptic number.

6195229093440 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 6195229093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10881941893680).

6195229093440 is an abundant number, since it is smaller than the sum of its proper divisors (15568654693920).

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

6195229093440 is a wasteful number, since it uses less digits than its factorization.

6195229093440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 6195229093440 in words is "six trillion, one hundred ninety-five billion, two hundred twenty-nine million, ninety-three thousand, four hundred forty".