4045261713400 has 96 divisors (see below), whose sum is σ = 9625442682240. Its totient is φ = 1580230834560.

The previous prime is 4045261713349. The next prime is 4045261713413. The reversal of 4045261713400 is 43171625404.

It is a self number, because there is not a number n which added to its sum of digits gives 4045261713400.

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, 61947567 + ... + 62012833.

It is an arithmetic number, because the mean of its divisors is an integer number (100265027940).

Almost surely, 2^{4045261713400} is an apocalyptic number.

4045261713400 is a gapful number since it is divisible by the number (40) 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 4045261713400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4812721341120).

4045261713400 is an abundant number, since it is smaller than the sum of its proper divisors (5580180968840).

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

4045261713400 is a wasteful number, since it uses less digits than its factorization.

4045261713400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72533 (or 72524 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 4045261713400 in words is "four trillion, forty-five billion, two hundred sixty-one million, seven hundred thirteen thousand, four hundred".