4013555541200 has 30 divisors (see below), whose sum is σ = 9642567188694. Its totient is φ = 1605422216320.

The previous prime is 4013555541143. The next prime is 4013555541217. The reversal of 4013555541200 is 21455553104.

4013555541200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1018759160896 + 2994796380304 = 1009336^2 + 1730548^2 .

It is a super-2 number, since 2×4013555541200² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5016944027 + ... + 5016944826.

Almost surely, 2^{4013555541200} is an apocalyptic number.

4013555541200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4013555541200 is an abundant number, since it is smaller than the sum of its proper divisors (5629011647494).

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

4013555541200 is a wasteful number, since it uses less digits than its factorization.

4013555541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10033888871 (or 10033888860 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

The spelling of 4013555541200 in words is "four trillion, thirteen billion, five hundred fifty-five million, five hundred forty-one thousand, two hundred".