4151364706368 has 784 divisors, whose sum is σ = 14727736051200. Its totient is φ = 1145722060800.

The previous prime is 4151364706367. The next prime is 4151364706373. The reversal of 4151364706368 is 8636074631514.

4151364706368 is a `hidden beast` number, since 4 + 1 + 5 + 136 + 470 + 6 + 36 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4151364706367) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 270457158 + ... + 270472506.

Almost surely, 2^{4151364706368} is an apocalyptic number.

4151364706368 is a gapful number since it is divisible by the number (48) 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 4151364706368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7363868025600).

4151364706368 is an abundant number, since it is smaller than the sum of its proper divisors (10576371344832).

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

4151364706368 is a wasteful number, since it uses less digits than its factorization.

4151364706368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15438 (or 15413 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 4151364706368 in words is "four trillion, one hundred fifty-one billion, three hundred sixty-four million, seven hundred six thousand, three hundred sixty-eight".