542213417146640 has 320 divisors, whose sum is σ = 1331805569702400. Its totient is φ = 204889946849280.

The previous prime is 542213417146579. The next prime is 542213417146787. The reversal of 542213417146640 is 46641714312245.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 178301023520 + ... + 178301026560.

It is an arithmetic number, because the mean of its divisors is an integer number (4161892405320).

Almost surely, 2^{542213417146640} 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 542213417146640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665902784851200).

542213417146640 is an abundant number, since it is smaller than the sum of its proper divisors (789592152555760).

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

542213417146640 is a wasteful number, since it uses less digits than its factorization.

542213417146640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5650 (or 5644 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 50.

The spelling of 542213417146640 in words is "five hundred forty-two trillion, two hundred thirteen billion, four hundred seventeen million, one hundred forty-six thousand, six hundred forty".