542191213440 has 192 divisors, whose sum is σ = 1872672141600. Its totient is φ = 144552038400.

The previous prime is 542191213363. The next prime is 542191213451. The reversal of 542191213440 is 44312191245.

542191213440 is a `hidden beast` number, since 5 + 4 + 2 + 191 + 21 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 542191213395 and 542191213404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37254165 + ... + 37268715.

Almost surely, 2^542191213440 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 542191213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936336070800).

542191213440 is an abundant number, since it is smaller than the sum of its proper divisors (1330480928160).

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

542191213440 is a wasteful number, since it uses less digits than its factorization.

542191213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21045 (or 21030 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 542191213440 in words is "five hundred forty-two billion, one hundred ninety-one million, two hundred thirteen thousand, four hundred forty".