542301180480 has 336 divisors, whose sum is σ = 2020951430784. Its totient is φ = 132941168640.

The previous prime is 542301180479. The next prime is 542301180481. The reversal of 542301180480 is 84081103245.

542301180480 is a `hidden beast` number, since 542 + 30 + 1 + 1 + 8 + 0 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (542301180479) and next prime (542301180481).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (542301180481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1976485 + ... + 2234075.

Almost surely, 2^542301180480 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 542301180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010475715392).

542301180480 is an abundant number, since it is smaller than the sum of its proper divisors (1478650250304).

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

542301180480 is a wasteful number, since it uses less digits than its factorization.

542301180480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257674 (or 257661 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 542301180480 in words is "five hundred forty-two billion, three hundred one million, one hundred eighty thousand, four hundred eighty".