8147208426240 has 1152 divisors, whose sum is σ = 30054107381760. Its totient is φ = 1866439065600.

The previous prime is 8147208426223. The next prime is 8147208426317. The reversal of 8147208426240 is 426248027418.

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 8147208426240.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4631726481 + ... + 4631728239.

It is an arithmetic number, because the mean of its divisors is an integer number (26088634880).

Almost surely, 2^{8147208426240} is an apocalyptic number.

8147208426240 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 8147208426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15027053690880).

8147208426240 is an abundant number, since it is smaller than the sum of its proper divisors (21906898955520).

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

8147208426240 is a wasteful number, since it uses less digits than its factorization.

8147208426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 48.

The spelling of 8147208426240 in words is "eight trillion, one hundred forty-seven billion, two hundred eight million, four hundred twenty-six thousand, two hundred forty".