492412200134400 has 3888 divisors, whose sum is σ = 2282127759475200. Its totient is φ = 98994685870080.

The previous prime is 492412200134383. The next prime is 492412200134419. The reversal of 492412200134400 is 4431002214294.

492412200134400 is a `hidden beast` number, since 4 + 9 + 2 + 4 + 1 + 2 + 200 + 1 + 3 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 593983353186 + ... + 593983354014.

Almost surely, 2^{492412200134400} is an apocalyptic number.

492412200134400 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 492412200134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141063879737600).

492412200134400 is an abundant number, since it is smaller than the sum of its proper divisors (1789715559340800).

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

492412200134400 is a wasteful number, since it uses less digits than its factorization.

492412200134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 492412200134400 its reverse (4431002214294), we get a palindrome (496843202348694).

The spelling of 492412200134400 in words is "four hundred ninety-two trillion, four hundred twelve billion, two hundred million, one hundred thirty-four thousand, four hundred".