4138396978320 has 2880 divisors, whose sum is σ = 17980449177600. Its totient is φ = 879446937600.

The previous prime is 4138396978277. The next prime is 4138396978327. The reversal of 4138396978320 is 238796938314.

4138396978320 is a `hidden beast` number, since 4 + 1 + 383 + 96 + 97 + 83 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (4138396978327) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 40178611389 + ... + 40178611491.

It is an arithmetic number, because the mean of its divisors is an integer number (6243211520).

Almost surely, 2^{4138396978320} is an apocalyptic number.

4138396978320 is a gapful number since it is divisible by the number (40) 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 4138396978320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8990224588800).

4138396978320 is an abundant number, since it is smaller than the sum of its proper divisors (13842052199280).

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

4138396978320 is a wasteful number, since it uses less digits than its factorization.

4138396978320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 4138396978320 in words is "four trillion, one hundred thirty-eight billion, three hundred ninety-six million, nine hundred seventy-eight thousand, three hundred twenty".