6261410161440 has 144 divisors (see below), whose sum is σ = 24419499668928. Its totient is φ = 1431179463168.

The previous prime is 6261410161417. The next prime is 6261410161471. The reversal of 6261410161440 is 441610141626.

6261410161440 is a `hidden beast` number, since 6 + 2 + 614 + 10 + 16 + 14 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 6261410161395 and 6261410161404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310575742 + ... + 310595901.

It is an arithmetic number, because the mean of its divisors is an integer number (169579858812).

Almost surely, 2^{6261410161440} is an apocalyptic number.

6261410161440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6261410161440 is an abundant number, since it is smaller than the sum of its proper divisors (18158089507488).

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

6261410161440 is a wasteful number, since it uses less digits than its factorization.

6261410161440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621171671 (or 621171660 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 6261410161440 in words is "six trillion, two hundred sixty-one billion, four hundred ten million, one hundred sixty-one thousand, four hundred forty".