38401352766450 has 144 divisors (see below), whose sum is σ = 104211880209216. Its totient is φ = 10137250300800.

The previous prime is 38401352766349. The next prime is 38401352766493. The reversal of 38401352766450 is 5466725310483.

38401352766450 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 1 + 3 + 527 + 6 + 64 + 50 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65819515 + ... + 66400385.

It is an arithmetic number, because the mean of its divisors is an integer number (723693612564).

Almost surely, 2^{38401352766450} is an apocalyptic number.

38401352766450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38401352766450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52105940104608).

38401352766450 is an abundant number, since it is smaller than the sum of its proper divisors (65810527442766).

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

38401352766450 is a wasteful number, since it uses less digits than its factorization.

38401352766450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582369 (or 582361 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 38401352766450 in words is "thirty-eight trillion, four hundred one billion, three hundred fifty-two million, seven hundred sixty-six thousand, four hundred fifty".