10141204331400 has 96 divisors (see below), whose sum is σ = 31450712650560. Its totient is φ = 2703204663040.

The previous prime is 10141204331347. The next prime is 10141204331431. The reversal of 10141204331400 is 413340214101.

10141204331400 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 2×10141204331400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2034027 + ... + 4941626.

It is an arithmetic number, because the mean of its divisors is an integer number (327611590110).

Almost surely, 2^{10141204331400} is an apocalyptic number.

10141204331400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10141204331400 is an abundant number, since it is smaller than the sum of its proper divisors (21309508319160).

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

10141204331400 is a wasteful number, since it uses less digits than its factorization.

10141204331400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6978095 (or 6978086 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10141204331400 its reverse (413340214101), we get a palindrome (10554544545501).

The spelling of 10141204331400 in words is "ten trillion, one hundred forty-one billion, two hundred four million, three hundred thirty-one thousand, four hundred".