38307741142000 has 240 divisors, whose sum is σ = 101910308572800. Its totient is φ = 13916962752000.

The previous prime is 38307741141979. The next prime is 38307741142019. The reversal of 38307741142000 is 24114770383.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258623961 + ... + 258772039.

It is an arithmetic number, because the mean of its divisors is an integer number (424626285720).

Almost surely, 2^{38307741142000} 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 38307741142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50955154286400).

38307741142000 is an abundant number, since it is smaller than the sum of its proper divisors (63602567430800).

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

38307741142000 is a wasteful number, since it uses less digits than its factorization.

38307741142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149193 (or 149166 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 38307741142000 in words is "thirty-eight trillion, three hundred seven billion, seven hundred forty-one million, one hundred forty-two thousand".