38969004254400 has 3024 divisors, whose sum is σ = 167393875731264. Its totient is φ = 8564244480000.

The previous prime is 38969004254353. The next prime is 38969004254431. The reversal of 38969004254400 is 445240096983.

38969004254400 is a `hidden beast` number, since 3 + 8 + 9 + 6 + 90 + 0 + 4 + 2 + 544 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 60794078080 + ... + 60794078720.

It is an arithmetic number, because the mean of its divisors is an integer number (55355117636).

Almost surely, 2^{38969004254400} is an apocalyptic number.

38969004254400 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 38969004254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83696937865632).

38969004254400 is an abundant number, since it is smaller than the sum of its proper divisors (128424871476864).

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

38969004254400 is a wasteful number, since it uses less digits than its factorization.

38969004254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 38969004254400 in words is "thirty-eight trillion, nine hundred sixty-nine billion, four million, two hundred fifty-four thousand, four hundred".