542040534162000 has 480 divisors, whose sum is σ = 1916329414630176. Its totient is φ = 142782289920000.

The previous prime is 542040534161963. The next prime is 542040534162011. The reversal of 542040534162000 is 261435040245.

542040534162000 is a `hidden beast` number, since 5 + 4 + 2 + 0 + 405 + 3 + 41 + 6 + 200 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 275721242780736 + 266319291381264 = 16604856^2 + 16319292^2 .

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 95 ways as a sum of consecutive naturals, for example, 786849714 + ... + 787538286.

Almost surely, 2^{542040534162000} is an apocalyptic number.

542040534162000 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 542040534162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958164707315088).

542040534162000 is an abundant number, since it is smaller than the sum of its proper divisors (1374288880468176).

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

542040534162000 is a wasteful number, since it uses less digits than its factorization.

542040534162000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689136 (or 689117 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 542040534162000 in words is "five hundred forty-two trillion, forty billion, five hundred thirty-four million, one hundred sixty-two thousand".