538334294400 has 1920 divisors, whose sum is σ = 2485872322560. Its totient is φ = 111874867200.

The previous prime is 538334294389. The next prime is 538334294441. The reversal of 538334294400 is 4492433835.

538334294400 is a `hidden beast` number, since 53 + 83 + 34 + 2 + 94 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 239 ways as a sum of consecutive naturals, for example, 956188519 + ... + 956189081.

It is an arithmetic number, because the mean of its divisors is an integer number (1294725168).

Almost surely, 2^538334294400 is an apocalyptic number.

538334294400 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 538334294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242936161280).

538334294400 is an abundant number, since it is smaller than the sum of its proper divisors (1947538028160).

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

538334294400 is a wasteful number, since it uses less digits than its factorization.

538334294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 538334294400 in words is "five hundred thirty-eight billion, three hundred thirty-four million, two hundred ninety-four thousand, four hundred".