10400445440 has 704 divisors, whose sum is σ = 34410037248. Its totient is φ = 2919628800.

The previous prime is 10400445401. The next prime is 10400445449. The reversal of 10400445440 is 4454400401.

It is a tau number, because it is divible by the number of its divisors (704).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400445449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 281093102 + ... + 281093138.

Almost surely, 2^10400445440 is an apocalyptic number.

10400445440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10400445440 is the 58880-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10400445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17205018624).

10400445440 is an abundant number, since it is smaller than the sum of its proper divisors (24009591808).

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

10400445440 is a wasteful number, since it uses less digits than its factorization.

10400445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

Adding to 10400445440 its reverse (4454400401), we get a palindrome (14854845841).

The spelling of 10400445440 in words is "ten billion, four hundred million, four hundred forty-five thousand, four hundred forty".