8114581440 has 336 divisors, whose sum is σ = 33775814592. Its totient is φ = 1745584128.

The previous prime is 8114581429. The next prime is 8114581441. The reversal of 8114581440 is 441854118.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 8114581395 and 8114581404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8114581441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 330882 + ... + 354558.

Almost surely, 2^8114581440 is an apocalyptic number.

8114581440 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 8114581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16887907296).

8114581440 is an abundant number, since it is smaller than the sum of its proper divisors (25661233152).

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

8114581440 is a wasteful number, since it uses less digits than its factorization.

8114581440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23724 (or 23711 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 8114581440 is about 90080.9715755775. The cubic root of 8114581440 is about 2009.5032261589.

The spelling of 8114581440 in words is "eight billion, one hundred fourteen million, five hundred eighty-one thousand, four hundred forty".