4101179040 has 336 divisors, whose sum is σ = 16605485568. Its totient is φ = 937225728.

The previous prime is 4101179029. The next prime is 4101179053. The reversal of 4101179040 is 409711014.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4101178995 and 4101179013.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 813969 + ... + 818991.

It is an arithmetic number, because the mean of its divisors is an integer number (49421088).

Almost surely, 2^4101179040 is an apocalyptic number.

4101179040 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 4101179040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8302742784).

4101179040 is an abundant number, since it is smaller than the sum of its proper divisors (12504306528).

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

4101179040 is an equidigital number, since it uses as much as digits as its factorization.

4101179040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5063 (or 5040 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 4101179040 is about 64040.4484681361. The cubic root of 4101179040 is about 1600.6740701452.

The spelling of 4101179040 in words is "four billion, one hundred one million, one hundred seventy-nine thousand, forty".