10044011010400 has 36 divisors (see below), whose sum is σ = 24519941881092. Its totient is φ = 4017604403840.

The previous prime is 10044011010391. The next prime is 10044011010431. The reversal of 10044011010400 is 401011044001.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 5 ways as a sum of consecutive naturals, for example, 6277506082 + ... + 6277507681.

It is an arithmetic number, because the mean of its divisors is an integer number (681109496697).

Almost surely, 2^{10044011010400} is an apocalyptic number.

10044011010400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10044011010400 is an abundant number, since it is smaller than the sum of its proper divisors (14475930870692).

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

10044011010400 is a wasteful number, since it uses less digits than its factorization.

10044011010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12555013783 (or 12555013770 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10044011010400 its reverse (401011044001), we get a palindrome (10445022054401).

The spelling of 10044011010400 in words is "ten trillion, forty-four billion, eleven million, ten thousand, four hundred".