1564142711040 has 1728 divisors, whose sum is σ = 7011202039296. Its totient is φ = 325066162176.

The previous prime is 1564142711023. The next prime is 1564142711051. The reversal of 1564142711040 is 401172414651.

1564142711040 is a `hidden beast` number, since 1 + 5 + 641 + 4 + 2 + 7 + 1 + 1 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 = 1564142710986 and 1564142711004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2066238342 + ... + 2066239098.

Almost surely, 2^{1564142711040} is an apocalyptic number.

1564142711040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1564142711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505601019648).

1564142711040 is an abundant number, since it is smaller than the sum of its proper divisors (5447059328256).

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

1564142711040 is an equidigital number, since it uses as much as digits as its factorization.

1564142711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 1564142711040 in words is "one trillion, five hundred sixty-four billion, one hundred forty-two million, seven hundred eleven thousand, forty".