8150840721408 has 1080 divisors, whose sum is σ = 28812778051680. Its totient is φ = 2024252375040.

The previous prime is 8150840721371. The next prime is 8150840721467. The reversal of 8150840721408 is 8041270480518.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79134375885 + ... + 79134375987.

It is an arithmetic number, because the mean of its divisors is an integer number (26678498196).

Almost surely, 2^{8150840721408} is an apocalyptic number.

8150840721408 is a gapful number since it is divisible by the number (88) 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 8150840721408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14406389025840).

8150840721408 is an abundant number, since it is smaller than the sum of its proper divisors (20661937330272).

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

8150840721408 is a wasteful number, since it uses less digits than its factorization.

8150840721408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 48.

The spelling of 8150840721408 in words is "eight trillion, one hundred fifty billion, eight hundred forty million, seven hundred twenty-one thousand, four hundred eight".