542404826820 has 384 divisors, whose sum is σ = 1786670645760. Its totient is φ = 136442880000.

The previous prime is 542404826783. The next prime is 542404826833. The reversal of 542404826820 is 28628404245.

542404826820 is a `hidden beast` number, since 54 + 2 + 40 + 482 + 6 + 82 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96151200 + ... + 96156840.

It is an arithmetic number, because the mean of its divisors is an integer number (4652788140).

Almost surely, 2^542404826820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542404826820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893335322880).

542404826820 is an abundant number, since it is smaller than the sum of its proper divisors (1244265818940).

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

542404826820 is a wasteful number, since it uses less digits than its factorization.

542404826820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5844 (or 5836 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 542404826820 in words is "five hundred forty-two billion, four hundred four million, eight hundred twenty-six thousand, eight hundred twenty".