4106049490944 has 312 divisors, whose sum is σ = 12412919238720. Its totient is φ = 1356090605568.

The previous prime is 4106049490889. The next prime is 4106049491003. The reversal of 4106049490944 is 4490949406014.

4106049490944 is a `hidden beast` number, since 4 + 1 + 0 + 60 + 4 + 9 + 490 + 94 + 4 = 666.

It is a super-2 number, since 2×4106049490944² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 108471829 + ... + 108509675.

It is an arithmetic number, because the mean of its divisors is an integer number (39784997560).

Almost surely, 2^{4106049490944} 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 4106049490944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6206459619360).

4106049490944 is an abundant number, since it is smaller than the sum of its proper divisors (8306869747776).

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

4106049490944 is an equidigital number, since it uses as much as digits as its factorization.

4106049490944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37995 (or 37961 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 4106049490944 in words is "four trillion, one hundred six billion, forty-nine million, four hundred ninety thousand, nine hundred forty-four".