38940445440000 has 2400 divisors, whose sum is σ = 158371443790560. Its totient is φ = 9472868352000.

The previous prime is 38940445439989. The next prime is 38940445440079. The reversal of 38940445440000 is 4454404983.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-3 number, since 3×38940445440000³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 225089279914 + ... + 225089280086.

Almost surely, 2^{38940445440000} is an apocalyptic number.

38940445440000 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 38940445440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79185721895280).

38940445440000 is an abundant number, since it is smaller than the sum of its proper divisors (119430998350560).

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

38940445440000 is a wasteful number, since it uses less digits than its factorization.

38940445440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

Adding to 38940445440000 its reverse (4454404983), we get a palindrome (38944899844983).

The spelling of 38940445440000 in words is "thirty-eight trillion, nine hundred forty billion, four hundred forty-five million, four hundred forty thousand".