4101354400000 has 432 divisors, whose sum is σ = 12021974669376. Its totient is φ = 1376640000000.

The previous prime is 4101354399977. The next prime is 4101354400019. The reversal of 4101354400000 is 44531014.

4101354400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4101354400000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114382075 + ... + 114417925.

It is an arithmetic number, because the mean of its divisors is an integer number (27828645068).

Almost surely, 2^{4101354400000} is an apocalyptic number.

4101354400000 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 4101354400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6010987334688).

4101354400000 is an abundant number, since it is smaller than the sum of its proper divisors (7920620269376).

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

4101354400000 is an equidigital number, since it uses as much as digits as its factorization.

4101354400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35916 (or 35882 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 4101354400000 its reverse (44531014), we get a palindrome (4101398931014).

The spelling of 4101354400000 in words is "four trillion, one hundred one billion, three hundred fifty-four million, four hundred thousand".