4137232863104 has 128 divisors (see below), whose sum is σ = 9316003536000. Its totient is φ = 1812878161920.

The previous prime is 4137232863103. The next prime is 4137232863131. The reversal of 4137232863104 is 4013682327314.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4137232863103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26176187 + ... + 26333765.

It is an arithmetic number, because the mean of its divisors is an integer number (72781277625).

Almost surely, 2^{4137232863104} is an apocalyptic number.

4137232863104 is a gapful number since it is divisible by the number (44) 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 4137232863104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4658001768000).

4137232863104 is an abundant number, since it is smaller than the sum of its proper divisors (5178770672896).

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

4137232863104 is a wasteful number, since it uses less digits than its factorization.

4137232863104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158276 (or 158264 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 44.

The spelling of 4137232863104 in words is "four trillion, one hundred thirty-seven billion, two hundred thirty-two million, eight hundred sixty-three thousand, one hundred four".