38943388535040 has 3456 divisors, whose sum is σ = 167777485209600. Its totient is φ = 8513637580800.

The previous prime is 38943388535017. The next prime is 38943388535123. The reversal of 38943388535040 is 4053588334983.

It is a happy number.

38943388535040 is a `hidden beast` number, since 3 + 8 + 9 + 43 + 3 + 8 + 85 + 3 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 238916493999 + ... + 238916494161.

Almost surely, 2^{38943388535040} is an apocalyptic number.

38943388535040 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 38943388535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83888742604800).

38943388535040 is an abundant number, since it is smaller than the sum of its proper divisors (128834096674560).

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

38943388535040 is a wasteful number, since it uses less digits than its factorization.

38943388535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 38943388535040 in words is "thirty-eight trillion, nine hundred forty-three billion, three hundred eighty-eight million, five hundred thirty-five thousand, forty".