542314114262400 has 192 divisors, whose sum is σ = 1786919477579280. Its totient is φ = 144562661621760.

The previous prime is 542314114262399. The next prime is 542314114262419. The reversal of 542314114262400 is 4262411413245.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×542314114262400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14876592 + ... + 36137808.

Almost surely, 2^{542314114262400} is an apocalyptic number.

542314114262400 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 542314114262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893459738789640).

542314114262400 is an abundant number, since it is smaller than the sum of its proper divisors (1244605363316880).

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

542314114262400 is a wasteful number, since it uses less digits than its factorization.

542314114262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21263901 (or 21263884 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

Adding to 542314114262400 its reverse (4262411413245), we get a palindrome (546576525675645).

The spelling of 542314114262400 in words is "five hundred forty-two trillion, three hundred fourteen billion, one hundred fourteen million, two hundred sixty-two thousand, four hundred".