8146430307840 has 640 divisors, whose sum is σ = 30063979782144. Its totient is φ = 1862389760000.

The previous prime is 8146430307751. The next prime is 8146430307901. The reversal of 8146430307840 is 487030346418.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a self number, because there is not a number n which added to its sum of digits gives 8146430307840.

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, 137926315 + ... + 137985365.

Almost surely, 2^{8146430307840} is an apocalyptic number.

8146430307840 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 8146430307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15031989891072).

8146430307840 is an abundant number, since it is smaller than the sum of its proper divisors (21917549474304).

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

8146430307840 is a wasteful number, since it uses less digits than its factorization.

8146430307840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59182 (or 59166 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 8146430307840 in words is "eight trillion, one hundred forty-six billion, four hundred thirty million, three hundred seven thousand, eight hundred forty".