43261008007168 has 832 divisors, whose sum is σ = 114440196096000. Its totient is φ = 16251821752320.

The previous prime is 43261008007159. The next prime is 43261008007183. The reversal of 43261008007168 is 86170080016234.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19032558480 + ... + 19032560752.

Almost surely, 2^{43261008007168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43261008007168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57220098048000).

43261008007168 is an abundant number, since it is smaller than the sum of its proper divisors (71179188088832).

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

43261008007168 is a wasteful number, since it uses less digits than its factorization.

43261008007168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2391 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 43261008007168 in words is "forty-three trillion, two hundred sixty-one billion, eight million, seven thousand, one hundred sixty-eight".