8724119040 has 1280 divisors, whose sum is σ = 40697395200. Its totient is φ = 1719926784.

The previous prime is 8724119011. The next prime is 8724119071. The reversal of 8724119040 is 409114278.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×8724119040² (a number of 21 digits) contains 22 as substring.

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 = 8724118986 and 8724119004.

It is a congruent number.

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, 119508444 + ... + 119508516.

It is an arithmetic number, because the mean of its divisors is an integer number (31794840).

Almost surely, 2^8724119040 is an apocalyptic number.

8724119040 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 8724119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20348697600).

8724119040 is an abundant number, since it is smaller than the sum of its proper divisors (31973276160).

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

8724119040 is a wasteful number, since it uses less digits than its factorization.

8724119040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8724119040 is about 93402.9926715413. The cubic root of 8724119040 is about 2058.6089707343.

The spelling of 8724119040 in words is "eight billion, seven hundred twenty-four million, one hundred nineteen thousand, forty".