38142155602944 has 264 divisors, whose sum is σ = 114517329483648. Its totient is φ = 12214098984960.

The previous prime is 38142155602919. The next prime is 38142155603011. The reversal of 38142155602944 is 44920655124183.

38142155602944 is a `hidden beast` number, since 3 + 8 + 1 + 4 + 2 + 15 + 560 + 29 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38653104 + ... + 39627600.

Almost surely, 2^{38142155602944} 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 38142155602944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57258664741824).

38142155602944 is an abundant number, since it is smaller than the sum of its proper divisors (76375173880704).

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

38142155602944 is a wasteful number, since it uses less digits than its factorization.

38142155602944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974691 (or 974670 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 38142155602944 in words is "thirty-eight trillion, one hundred forty-two billion, one hundred fifty-five million, six hundred two thousand, nine hundred forty-four".