542409088484340 has 1152 divisors, whose sum is σ = 2151657443819520. Its totient is φ = 111018999168000.

The previous prime is 542409088484323. The next prime is 542409088484357. The reversal of 542409088484340 is 43484880904245.

It is a happy number.

542409088484340 is a `hidden beast` number, since 5 + 4 + 2 + 40 + 9 + 0 + 88 + 484 + 34 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (542409088484323) and next prime (542409088484357).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 38351763309 + ... + 38351777451.

It is an arithmetic number, because the mean of its divisors is an integer number (1867758197760).

Almost surely, 2^{542409088484340} 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 542409088484340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075828721909760).

542409088484340 is an abundant number, since it is smaller than the sum of its proper divisors (1609248355335180).

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

542409088484340 is a wasteful number, since it uses less digits than its factorization.

542409088484340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15442 (or 15423 counting only the distinct ones).

The product of its (nonzero) digits is 141557760, while the sum is 63.

The spelling of 542409088484340 in words is "five hundred forty-two trillion, four hundred nine billion, eighty-eight million, four hundred eighty-four thousand, three hundred forty".