10141134011400 has 576 divisors, whose sum is σ = 37218455009280. Its totient is φ = 2277117964800.

The previous prime is 10141134011389. The next prime is 10141134011429. The reversal of 10141134011400 is 411043114101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 590725617 + ... + 590742783.

It is an arithmetic number, because the mean of its divisors is an integer number (64615373280).

Almost surely, 2^{10141134011400} is an apocalyptic number.

10141134011400 is a gapful number since it is divisible by the number (10) 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 10141134011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18609227504640).

10141134011400 is an abundant number, since it is smaller than the sum of its proper divisors (27077320997880).

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

10141134011400 is a wasteful number, since it uses less digits than its factorization.

10141134011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17554 (or 17538 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 10141134011400 its reverse (411043114101), we get a palindrome (10552177125501).

The spelling of 10141134011400 in words is "ten trillion, one hundred forty-one billion, one hundred thirty-four million, eleven thousand, four hundred".