8041551408 has 120 divisors (see below), whose sum is σ = 24639226560. Its totient is φ = 2428087680.

The previous prime is 8041551319. The next prime is 8041551439.

8041551408 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 439303 + ... + 457241.

It is an arithmetic number, because the mean of its divisors is an integer number (205326888).

Almost surely, 2^8041551408 is an apocalyptic number.

8041551408 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 8041551408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12319613280).

8041551408 is an abundant number, since it is smaller than the sum of its proper divisors (16597675152).

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

8041551408 is a wasteful number, since it uses less digits than its factorization.

8041551408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18247 (or 18238 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 8041551408 is about 89674.6977023062. The cubic root of 8041551408 is about 2003.4566397125.

The spelling of 8041551408 in words is "eight billion, forty-one million, five hundred fifty-one thousand, four hundred eight".