38387732142144 has 448 divisors, whose sum is σ = 130122426470400. Its totient is φ = 9696110469120.

The previous prime is 38387732142101. The next prime is 38387732142157. The reversal of 38387732142144 is 44124123778383.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1066100589 + ... + 1066136595.

It is an arithmetic number, because the mean of its divisors is an integer number (290451844800).

Almost surely, 2^{38387732142144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38387732142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65061213235200).

38387732142144 is an abundant number, since it is smaller than the sum of its proper divisors (91734694328256).

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

38387732142144 is a wasteful number, since it uses less digits than its factorization.

38387732142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38026 (or 38016 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 57.

The spelling of 38387732142144 in words is "thirty-eight trillion, three hundred eighty-seven billion, seven hundred thirty-two million, one hundred forty-two thousand, one hundred forty-four".