4345261641000 has 576 divisors, whose sum is σ = 17148839994000. Its totient is φ = 989483443200.

The previous prime is 4345261640989. The next prime is 4345261641001. The reversal of 4345261641000 is 1461625434.

4345261641000 is a `hidden beast` number, since 4 + 3 + 4 + 5 + 2 + 6 + 1 + 641 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 153521345124 + 4191740295876 = 391818^2 + 2047374^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4345261641001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 118610686 + ... + 118647314.

Almost surely, 2^{4345261641000} is an apocalyptic number.

4345261641000 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 4345261641000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8574419997000).

4345261641000 is an abundant number, since it is smaller than the sum of its proper divisors (12803578353000).

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

4345261641000 is a wasteful number, since it uses less digits than its factorization.

4345261641000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36939 (or 36915 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 4345261641000 in words is "four trillion, three hundred forty-five billion, two hundred sixty-one million, six hundred forty-one thousand".