38873391229440 has 1600 divisors, whose sum is σ = 153430902079488. Its totient is φ = 9364045824000.

The previous prime is 38873391229429. The next prime is 38873391229511. The reversal of 38873391229440 is 4492219337883.

38873391229440 is a `hidden beast` number, since 3 + 8 + 8 + 7 + 339 + 1 + 2 + 294 + 4 + 0 = 666.

It is a super-2 number, since 2×38873391229440² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13878396040 + ... + 13878398840.

Almost surely, 2^{38873391229440} is an apocalyptic number.

38873391229440 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 38873391229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76715451039744).

38873391229440 is an abundant number, since it is smaller than the sum of its proper divisors (114557510850048).

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

38873391229440 is a wasteful number, since it uses less digits than its factorization.

38873391229440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 38873391229440 in words is "thirty-eight trillion, eight hundred seventy-three billion, three hundred ninety-one million, two hundred twenty-nine thousand, four hundred forty".