534938469350400 has 1584 divisors, whose sum is σ = 2039246232566400. Its totient is φ = 133599046533120.

The previous prime is 534938469350393. The next prime is 534938469350407. The reversal of 534938469350400 is 4053964839435.

534938469350400 is a `hidden beast` number, since 5 + 3 + 4 + 9 + 38 + 4 + 6 + 93 + 504 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (534938469350393) and next prime (534938469350407).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534938469350407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 308677707934 + ... + 308677709666.

It is an arithmetic number, because the mean of its divisors is an integer number (1287402924600).

Almost surely, 2^{534938469350400} is an apocalyptic number.

534938469350400 is a gapful number since it is divisible by the number (50) 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 534938469350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019623116283200).

534938469350400 is an abundant number, since it is smaller than the sum of its proper divisors (1504307763216000).

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

534938469350400 is a wasteful number, since it uses less digits than its factorization.

534938469350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 63.

The spelling of 534938469350400 in words is "five hundred thirty-four trillion, nine hundred thirty-eight billion, four hundred sixty-nine million, three hundred fifty thousand, four hundred".