38401144610268 has 96 divisors (see below), whose sum is σ = 98506894510080. Its totient is φ = 11546503784640.

The previous prime is 38401144610263. The next prime is 38401144610291. The reversal of 38401144610268 is 86201644110483.

It is a super-2 number, since 2×38401144610268² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38401144610263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32127571 + ... + 33301397.

It is an arithmetic number, because the mean of its divisors is an integer number (1026113484480).

Almost surely, 2^{38401144610268} 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 38401144610268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49253447255040).

38401144610268 is an abundant number, since it is smaller than the sum of its proper divisors (60105749899812).

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

38401144610268 is a wasteful number, since it uses less digits than its factorization.

38401144610268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175767 (or 1175765 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 38401144610268 in words is "thirty-eight trillion, four hundred one billion, one hundred forty-four million, six hundred ten thousand, two hundred sixty-eight".