6201416551140 has 36 divisors (see below), whose sum is σ = 18810963539004. Its totient is φ = 1653711080256.

The previous prime is 6201416551093. The next prime is 6201416551153. The reversal of 6201416551140 is 411556141026.

6201416551140 is a `hidden beast` number, since 6 + 2 + 0 + 1 + 41 + 65 + 511 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1610604657216 + 4590811893924 = 1269096^2 + 2142618^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6201416551095 and 6201416551104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17226156907 + ... + 17226157266.

Almost surely, 2^{6201416551140} is an apocalyptic number.

6201416551140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6201416551140 is an abundant number, since it is smaller than the sum of its proper divisors (12609546987864).

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

6201416551140 is a wasteful number, since it uses less digits than its factorization.

6201416551140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34452314188 (or 34452314183 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 6201416551140 in words is "six trillion, two hundred one billion, four hundred sixteen million, five hundred fifty-one thousand, one hundred forty".