542492403264 has 1008 divisors, whose sum is σ = 1966726267200. Its totient is φ = 146150645760.

The previous prime is 542492403227. The next prime is 542492403283. The reversal of 542492403264 is 462304294245.

542492403264 is a `hidden beast` number, since 5 + 42 + 49 + 240 + 326 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4800817672 + ... + 4800817784.

Almost surely, 2^542492403264 is an apocalyptic number.

542492403264 is a gapful number since it is divisible by the number (54) 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 542492403264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983363133600).

542492403264 is an abundant number, since it is smaller than the sum of its proper divisors (1424233863936).

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

542492403264 is a wasteful number, since it uses less digits than its factorization.

542492403264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 542492403264 in words is "five hundred forty-two billion, four hundred ninety-two million, four hundred three thousand, two hundred sixty-four".