4138343098032 has 640 divisors, whose sum is σ = 13365224570880. Its totient is φ = 1085495685120.

The previous prime is 4138343098027. The next prime is 4138343098049. The reversal of 4138343098032 is 2308903438314.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 2528003518 + ... + 2528005154.

It is an arithmetic number, because the mean of its divisors is an integer number (20883163392).

Almost surely, 2^{4138343098032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4138343098032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6682612285440).

4138343098032 is an abundant number, since it is smaller than the sum of its proper divisors (9226881472848).

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

4138343098032 is a wasteful number, since it uses less digits than its factorization.

4138343098032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 4138343098032 in words is "four trillion, one hundred thirty-eight billion, three hundred forty-three million, ninety-eight thousand, thirty-two".