4267159408512 has 1536 divisors, whose sum is σ = 17452536192000. Its totient is φ = 1022729379840.

The previous prime is 4267159408471. The next prime is 4267159408543. The reversal of 4267159408512 is 2158049517624.

4267159408512 is a `hidden beast` number, since 4 + 2 + 6 + 71 + 59 + 4 + 0 + 8 + 512 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1525618698 + ... + 1525621494.

It is an arithmetic number, because the mean of its divisors is an integer number (11362328250).

Almost surely, 2^{4267159408512} is an apocalyptic number.

4267159408512 is a gapful number since it is divisible by the number (42) 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 4267159408512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8726268096000).

4267159408512 is an abundant number, since it is smaller than the sum of its proper divisors (13185376783488).

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

4267159408512 is a wasteful number, since it uses less digits than its factorization.

4267159408512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871 (or 2833 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 4267159408512 in words is "four trillion, two hundred sixty-seven billion, one hundred fifty-nine million, four hundred eight thousand, five hundred twelve".