4165653381120 has 2400 divisors, whose sum is σ = 19292941172736. Its totient is φ = 834482995200.

The previous prime is 4165653381119. The next prime is 4165653381133. The reversal of 4165653381120 is 211833565614.

4165653381120 is a `hidden beast` number, since 4 + 1 + 6 + 565 + 3 + 3 + 81 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15838986109 + ... + 15838986371.

Almost surely, 2^{4165653381120} is an apocalyptic number.

4165653381120 is a gapful number since it is divisible by the number (40) 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 4165653381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9646470586368).

4165653381120 is an abundant number, since it is smaller than the sum of its proper divisors (15127287791616).

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

4165653381120 is a wasteful number, since it uses less digits than its factorization.

4165653381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 4165653381120 in words is "four trillion, one hundred sixty-five billion, six hundred fifty-three million, three hundred eighty-one thousand, one hundred twenty".