542374102240 has 192 divisors, whose sum is σ = 1356456870720. Its totient is φ = 204659343360.

The previous prime is 542374102229. The next prime is 542374102289. The reversal of 542374102240 is 42201473245.

It is a junction number, because it is equal to n+sod(n) for n = 542374102196 and 542374102205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39556506 + ... + 39570214.

It is an arithmetic number, because the mean of its divisors is an integer number (7064879535).

Almost surely, 2^542374102240 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 542374102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678228435360).

542374102240 is an abundant number, since it is smaller than the sum of its proper divisors (814082768480).

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

542374102240 is a wasteful number, since it uses less digits than its factorization.

542374102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13965 (or 13957 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

Adding to 542374102240 its reverse (42201473245), we get a palindrome (584575575485).

The spelling of 542374102240 in words is "five hundred forty-two billion, three hundred seventy-four million, one hundred two thousand, two hundred forty".