4100114557000 has 512 divisors, whose sum is σ = 12620526796800. Its totient is φ = 1207882368000.

The previous prime is 4100114556991. The next prime is 4100114557001. The reversal of 4100114557000 is 7554110014.

4100114557000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 4100114557000.

It is not an unprimeable number, because it can be changed into a prime (4100114557001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 677365974 + ... + 677372026.

It is an arithmetic number, because the mean of its divisors is an integer number (24649466400).

Almost surely, 2^{4100114557000} is an apocalyptic number.

4100114557000 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 4100114557000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6310263398400).

4100114557000 is an abundant number, since it is smaller than the sum of its proper divisors (8520412239800).

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

4100114557000 is a wasteful number, since it uses less digits than its factorization.

4100114557000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6574 (or 6560 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 28.

Adding to 4100114557000 its reverse (7554110014), we get a palindrome (4107668667014).

The spelling of 4100114557000 in words is "four trillion, one hundred billion, one hundred fourteen million, five hundred fifty-seven thousand".