542304453442400 has 288 divisors, whose sum is σ = 1532695141232640. Its totient is φ = 185178719232000.

The previous prime is 542304453442387. The next prime is 542304453442471. The reversal of 542304453442400 is 4244354403245.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61545665 + ... + 69803135.

It is an arithmetic number, because the mean of its divisors is an integer number (5321858129280).

Almost surely, 2^{542304453442400} is an apocalyptic number.

542304453442400 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 542304453442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766347570616320).

542304453442400 is an abundant number, since it is smaller than the sum of its proper divisors (990390687790240).

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

542304453442400 is a wasteful number, since it uses less digits than its factorization.

542304453442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8257958 (or 8257945 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 44.

The spelling of 542304453442400 in words is "five hundred forty-two trillion, three hundred four billion, four hundred fifty-three million, four hundred forty-two thousand, four hundred".