10141433400 has 384 divisors, whose sum is σ = 37894003200. Its totient is φ = 2194483200.

The previous prime is 10141433399. The next prime is 10141433437. The reversal of 10141433400 is 433414101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6454615 + ... + 6456185.

It is an arithmetic number, because the mean of its divisors is an integer number (98682300).

Almost surely, 2^10141433400 is an apocalyptic number.

10141433400 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 10141433400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18947001600).

10141433400 is an abundant number, since it is smaller than the sum of its proper divisors (27752569800).

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

10141433400 is a wasteful number, since it uses less digits than its factorization.

10141433400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10141433400 its reverse (433414101), we get a palindrome (10574847501).

The spelling of 10141433400 in words is "ten billion, one hundred forty-one million, four hundred thirty-three thousand, four hundred".