4671265301136 has 640 divisors, whose sum is σ = 16111893217280. Its totient is φ = 1267774156800.

The previous prime is 4671265301123. The next prime is 4671265301137. The reversal of 4671265301136 is 6311035621764.

4671265301136 is a `hidden beast` number, since 4 + 6 + 71 + 2 + 6 + 530 + 11 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4671265301091 and 4671265301100.

It is not an unprimeable number, because it can be changed into a prime (4671265301137) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1526057046 + ... + 1526060106.

It is an arithmetic number, because the mean of its divisors is an integer number (25174833152).

Almost surely, 2^{4671265301136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4671265301136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8055946608640).

4671265301136 is an abundant number, since it is smaller than the sum of its proper divisors (11440627916144).

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

4671265301136 is a wasteful number, since it uses less digits than its factorization.

4671265301136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3412 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 4671265301136 in words is "four trillion, six hundred seventy-one billion, two hundred sixty-five million, three hundred one thousand, one hundred thirty-six".