2401350037641 has 15 divisors (see below), whose sum is σ = 3587222742103. Its totient is φ = 1600890727320.

The previous prime is 2401350037631. The next prime is 2401350037649. The reversal of 2401350037641 is 1467300531042.

The square root of 2401350037641 is 1549629.

It is a perfect power (a square), and thus also a powerful number.

2401350037641 is a `hidden beast` number, since 2 + 4 + 0 + 1 + 3 + 5 + 0 + 0 + 3 + 7 + 641 = 666.

2401350037641 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 only one way, i.e., 2135774722041 + 265575315600 = 1461429^2 + 515340^2 .

It is not a de Polignac number, because 2401350037641 - 2¹¹ = 2401350035593 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2401350037596 and 2401350037605.

It is not an unprimeable number, because it can be changed into a prime (2401350037649) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 13860571 + ... + 14032751.

Almost surely, 2^{2401350037641} is an apocalyptic number.

2401350037641 is the 1549629-th square number.

2401350037641 is the 774815-th centered octagonal number.

It is an amenable number.

2401350037641 is a deficient number, since it is larger than the sum of its proper divisors (1185872704462).

2401350037641 is an frugal number, since it uses more digits than its factorization.

2401350037641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344374 (or 172184 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Multiplying 2401350037641 by its sum of digits (36), we get a square (86448601355076 = 9297774²).

Adding to 2401350037641 its reverse (1467300531042), we get a palindrome (3868650568683).

The spelling of 2401350037641 in words is "two trillion, four hundred one billion, three hundred fifty million, thirty-seven thousand, six hundred forty-one".