542014986240 has 1920 divisors, whose sum is σ = 2461333754880. Its totient is φ = 111030829056.

The previous prime is 542014986229. The next prime is 542014986251. The reversal of 542014986240 is 42689410245.

It is a happy number.

542014986240 is a `hidden beast` number, since 5 + 4 + 2 + 0 + 14 + 9 + 8 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (542014986229) and next prime (542014986251).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3245598637 + ... + 3245598803.

It is an arithmetic number, because the mean of its divisors is an integer number (1281944664).

Almost surely, 2^542014986240 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 542014986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230666877440).

542014986240 is an abundant number, since it is smaller than the sum of its proper divisors (1919318768640).

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

542014986240 is a wasteful number, since it uses less digits than its factorization.

542014986240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 542014986240 in words is "five hundred forty-two billion, fourteen million, nine hundred eighty-six thousand, two hundred forty".