4106411627040 has 768 divisors, whose sum is σ = 15593239549440. Its totient is φ = 1018089160704.

The previous prime is 4106411626991. The next prime is 4106411627063. The reversal of 4106411627040 is 407261146014.

It is a happy number.

4106411627040 is a `hidden beast` number, since 4 + 1 + 0 + 641 + 1 + 6 + 2 + 7 + 0 + 4 + 0 = 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 = 4106411626986 and 4106411627004.

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, 493732962 + ... + 493741278.

It is an arithmetic number, because the mean of its divisors is an integer number (20303697330).

Almost surely, 2^{4106411627040} is an apocalyptic number.

4106411627040 is a gapful number since it is divisible by the number (40) 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 4106411627040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7796619774720).

4106411627040 is an abundant number, since it is smaller than the sum of its proper divisors (11486827922400).

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

4106411627040 is an equidigital number, since it uses as much as digits as its factorization.

4106411627040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8453 (or 8427 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 4106411627040 in words is "four trillion, one hundred six billion, four hundred eleven million, six hundred twenty-seven thousand, forty".