542234246400 has 1296 divisors, whose sum is σ = 2434029212160. Its totient is φ = 111878553600.

The previous prime is 542234246399. The next prime is 542234246401. The reversal of 542234246400 is 4642432245.

542234246400 is a `hidden beast` number, since 5 + 4 + 2 + 2 + 3 + 4 + 2 + 4 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (542234246399) and next prime (542234246401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542234246401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 793900459 + ... + 793901141.

It is an arithmetic number, because the mean of its divisors is an integer number (1878108960).

Almost surely, 2^542234246400 is an apocalyptic number.

542234246400 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 542234246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217014606080).

542234246400 is an abundant number, since it is smaller than the sum of its proper divisors (1891794965760).

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

542234246400 is a wasteful number, since it uses less digits than its factorization.

542234246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 542234246400 its reverse (4642432245), we get a palindrome (546876678645).

The spelling of 542234246400 in words is "five hundred forty-two billion, two hundred thirty-four million, two hundred forty-six thousand, four hundred".