4126862824128 has 224 divisors, whose sum is σ = 13237305016320. Its totient is φ = 1250360017920.

The previous prime is 4126862824103. The next prime is 4126862824199. The reversal of 4126862824128 is 8214282686214.

4126862824128 is a `hidden beast` number, since 4 + 1 + 2 + 6 + 8 + 628 + 2 + 4 + 1 + 2 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149256001 + ... + 149283647.

It is an arithmetic number, because the mean of its divisors is an integer number (59095111680).

Almost surely, 2^{4126862824128} is an apocalyptic number.

4126862824128 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 4126862824128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6618652508160).

4126862824128 is an abundant number, since it is smaller than the sum of its proper divisors (9110442192192).

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

4126862824128 is a wasteful number, since it uses less digits than its factorization.

4126862824128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35532 (or 35516 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The spelling of 4126862824128 in words is "four trillion, one hundred twenty-six billion, eight hundred sixty-two million, eight hundred twenty-four thousand, one hundred twenty-eight".