542515416302640 has 120 divisors (see below), whose sum is σ = 1848587654161584. Its totient is φ = 131518888793600.

The previous prime is 542515416302633. The next prime is 542515416302711. The reversal of 542515416302640 is 46203614515245.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 542515416302640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9340801131 + ... + 9340859210.

Almost surely, 2^{542515416302640} is an apocalyptic number.

It is an amenable number.

542515416302640 is an abundant number, since it is smaller than the sum of its proper divisors (1306072237858944).

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

542515416302640 is a wasteful number, since it uses less digits than its factorization.

542515416302640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18681660379 (or 18681660362 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 48.

The spelling of 542515416302640 in words is "five hundred forty-two trillion, five hundred fifteen billion, four hundred sixteen million, three hundred two thousand, six hundred forty".