4938041342400 has 168 divisors, whose sum is σ = 16204349008560. Its totient is φ = 1316529930240.

The previous prime is 4938041342393. The next prime is 4938041342447. The reversal of 4938041342400 is 42431408394.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22879792 + ... + 23094608.

Almost surely, 2^{4938041342400} is an apocalyptic number.

4938041342400 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 4938041342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8102174504280).

4938041342400 is an abundant number, since it is smaller than the sum of its proper divisors (11266307666160).

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

4938041342400 is a wasteful number, since it uses less digits than its factorization.

4938041342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219631 (or 219616 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 4938041342400 in words is "four trillion, nine hundred thirty-eight billion, forty-one million, three hundred forty-two thousand, four hundred".