10144030133400 has 96 divisors (see below), whose sum is σ = 31446992888640. Its totient is φ = 2705031736960.

The previous prime is 10144030133353. The next prime is 10144030133449. The reversal of 10144030133400 is 433103044101.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60388327 + ... + 60556073.

It is an arithmetic number, because the mean of its divisors is an integer number (327572842590).

Almost surely, 2^{10144030133400} is an apocalyptic number.

10144030133400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10144030133400 is an abundant number, since it is smaller than the sum of its proper divisors (21302962755240).

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

10144030133400 is a wasteful number, since it uses less digits than its factorization.

10144030133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268553 (or 268544 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10144030133400 its reverse (433103044101), we get a palindrome (10577133177501).

The spelling of 10144030133400 in words is "ten trillion, one hundred forty-four billion, thirty million, one hundred thirty-three thousand, four hundred".