1056436405201 has 16 divisors (see below), whose sum is σ = 1122396352128. Its totient is φ = 990902880000.

The previous prime is 1056436405183. The next prime is 1056436405223. The reversal of 1056436405201 is 1025046346501.

1056436405201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1056436405201 - 2⁵ = 1056436405169 is a prime.

It is a super-3 number, since 3×1056436405201³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1056436405291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14949451 + ... + 15019951.

It is an arithmetic number, because the mean of its divisors is an integer number (70149772008).

Almost surely, 2^{1056436405201} is an apocalyptic number.

It is an amenable number.

1056436405201 is a deficient number, since it is larger than the sum of its proper divisors (65959946927).

1056436405201 is a wasteful number, since it uses less digits than its factorization.

1056436405201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73512.

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 1056436405201 in words is "one trillion, fifty-six billion, four hundred thirty-six million, four hundred five thousand, two hundred one".