8251345943040 has 160 divisors (see below), whose sum is σ = 26380538680320. Its totient is φ = 2200190664704.

The previous prime is 8251345942967. The next prime is 8251345943063. The reversal of 8251345943040 is 403495431528.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125297002 + ... + 125362838.

It is an arithmetic number, because the mean of its divisors is an integer number (164878366752).

Almost surely, 2^{8251345943040} is an apocalyptic number.

8251345943040 is a gapful number since it is divisible by the number (80) 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 8251345943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13190269340160).

8251345943040 is an abundant number, since it is smaller than the sum of its proper divisors (18129192737280).

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

8251345943040 is a wasteful number, since it uses less digits than its factorization.

8251345943040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82182 (or 82166 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 8251345943040 in words is "eight trillion, two hundred fifty-one billion, three hundred forty-five million, nine hundred forty-three thousand, forty".