542034612900 has 729 divisors, whose sum is σ = 1972528797603. Its totient is φ = 124393420800.

The previous prime is 542034612857. The next prime is 542034612901. The reversal of 542034612900 is 9216430245.

It is a happy number.

The square root of 542034612900 is 736230.

It is a perfect power (a square), and thus also a powerful number.

542034612900 is a `hidden beast` number, since 5 + 4 + 2 + 0 + 34 + 612 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19930098276 + 522104514624 = 141174^2 + 722568^2 .

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

It is not an unprimeable number, because it can be changed into a prime (542034612901) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 5587985652 + ... + 5587985748.

Almost surely, 2^542034612900 is an apocalyptic number.

542034612900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

542034612900 is the 736230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542034612900

542034612900 is an abundant number, since it is smaller than the sum of its proper divisors (1430494184703).

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

542034612900 is a wasteful number, since it uses less digits than its factorization.

542034612900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 542034612900 by its sum of digits (36), we get a square (19513246064400 = 4417380²).

542034612900 divided by its sum of digits (36) gives a square (15056517025 = 122705²).

The spelling of 542034612900 in words is "five hundred forty-two billion, thirty-four million, six hundred twelve thousand, nine hundred".