542939417741040 has 640 divisors, whose sum is σ = 1807356961751040. Its totient is φ = 134613500313600.

The previous prime is 542939417741033. The next prime is 542939417741041. The reversal of 542939417741040 is 40147714939245.

It is a super-2 number, since 2×542939417741040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542939417741041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3735037960 + ... + 3735183320.

It is an arithmetic number, because the mean of its divisors is an integer number (2823995252736).

Almost surely, 2^{542939417741040} 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 542939417741040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903678480875520).

542939417741040 is an abundant number, since it is smaller than the sum of its proper divisors (1264417544010000).

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

542939417741040 is a wasteful number, since it uses less digits than its factorization.

542939417741040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145661 (or 145655 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 542939417741040 in words is "five hundred forty-two trillion, nine hundred thirty-nine billion, four hundred seventeen million, seven hundred forty-one thousand, forty".