4103579340 has 384 divisors, whose sum is σ = 16266700800. Its totient is φ = 836075520.

The previous prime is 4103579327. The next prime is 4103579369. The reversal of 4103579340 is 439753014.

4103579340 is a `hidden beast` number, since 41 + 0 + 3 + 579 + 3 + 40 = 666.

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 = 4103579295 and 4103579304.

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, 1219260 + ... + 1222620.

It is an arithmetic number, because the mean of its divisors is an integer number (42361200).

Almost surely, 2^4103579340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4103579340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8133350400).

4103579340 is an abundant number, since it is smaller than the sum of its proper divisors (12163121460).

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

4103579340 is a wasteful number, since it uses less digits than its factorization.

4103579340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 4103579340 is about 64059.1862264890. The cubic root of 4103579340 is about 1600.9862851303.

The spelling of 4103579340 in words is "four billion, one hundred three million, five hundred seventy-nine thousand, three hundred forty".