38223406092480 has 448 divisors, whose sum is σ = 138971433910272. Its totient is φ = 8719471411200.

The previous prime is 38223406092439. The next prime is 38223406092497. The reversal of 38223406092480 is 8429060432283.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×38223406092480² (a number of 28 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 8772870462 + ... + 8772874818.

Almost surely, 2^{38223406092480} is an apocalyptic number.

38223406092480 is a gapful number since it is divisible by the number (30) 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 38223406092480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69485716955136).

38223406092480 is an abundant number, since it is smaller than the sum of its proper divisors (100748027817792).

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

38223406092480 is a wasteful number, since it uses less digits than its factorization.

38223406092480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6672 (or 6662 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 51.

The spelling of 38223406092480 in words is "thirty-eight trillion, two hundred twenty-three billion, four hundred six million, ninety-two thousand, four hundred eighty".