4100140410000 has 400 divisors, whose sum is σ = 14312638289664. Its totient is φ = 1007154176000.

The previous prime is 4100140409999. The next prime is 4100140410013. The reversal of 4100140410000 is 140410014.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×4100140410000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23884474 + ... + 24055526.

Almost surely, 2^{4100140410000} is an apocalyptic number.

4100140410000 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 4100140410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7156319144832).

4100140410000 is an abundant number, since it is smaller than the sum of its proper divisors (10212497879664).

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

4100140410000 is a wasteful number, since it uses less digits than its factorization.

4100140410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171148 (or 171127 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 4100140410000 its reverse (140410014), we get a palindrome (4100280820014).

The spelling of 4100140410000 in words is "four trillion, one hundred billion, one hundred forty million, four hundred ten thousand".