38542645616640 has 896 divisors, whose sum is σ = 137241950137344. Its totient is φ = 9158000640000.

The previous prime is 38542645616623. The next prime is 38542645616659. The reversal of 38542645616640 is 4661654624583.

It is a happy number.

It is a super-2 number, since 2×38542645616640² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 63 ways as a sum of consecutive naturals, for example, 14061525670 + ... + 14061528410.

Almost surely, 2^{38542645616640} is an apocalyptic number.

38542645616640 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 38542645616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68620975068672).

38542645616640 is an abundant number, since it is smaller than the sum of its proper divisors (98699304520704).

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

38542645616640 is a wasteful number, since it uses less digits than its factorization.

38542645616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 60.

The spelling of 38542645616640 in words is "thirty-eight trillion, five hundred forty-two billion, six hundred forty-five million, six hundred sixteen thousand, six hundred forty".