38840025011200 has 1056 divisors, whose sum is σ = 120202381555200. Its totient is φ = 12139678924800.

The previous prime is 38840025011083. The next prime is 38840025011257. The reversal of 38840025011200 is 211052004883.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18610456557 + ... + 18610458643.

Almost surely, 2^{38840025011200} 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 38840025011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60101190777600).

38840025011200 is an abundant number, since it is smaller than the sum of its proper divisors (81362356544000).

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

38840025011200 is a wasteful number, since it uses less digits than its factorization.

38840025011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The spelling of 38840025011200 in words is "thirty-eight trillion, eight hundred forty billion, twenty-five million, eleven thousand, two hundred".