4139497238400 has 576 divisors, whose sum is σ = 15425483598720. Its totient is φ = 1055008542720.

The previous prime is 4139497238341. The next prime is 4139497238419. The reversal of 4139497238400 is 48327949314.

4139497238400 is a `hidden beast` number, since 4 + 139 + 4 + 9 + 72 + 38 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1342683259 + ... + 1342686341.

It is an arithmetic number, because the mean of its divisors is an integer number (26780353470).

Almost surely, 2^{4139497238400} is an apocalyptic number.

4139497238400 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 4139497238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7712741799360).

4139497238400 is an abundant number, since it is smaller than the sum of its proper divisors (11285986360320).

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

4139497238400 is a wasteful number, since it uses less digits than its factorization.

4139497238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5163 (or 5143 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 4139497238400 in words is "four trillion, one hundred thirty-nine billion, four hundred ninety-seven million, two hundred thirty-eight thousand, four hundred".