10407240441600 has 864 divisors, whose sum is σ = 36350797400064. Its totient is φ = 2618459750400.

The previous prime is 10407240441589. The next prime is 10407240441607. The reversal of 10407240441600 is 614404270401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10407240441607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5457387847 + ... + 5457389753.

It is an arithmetic number, because the mean of its divisors is an integer number (42072682176).

Almost surely, 2^{10407240441600} is an apocalyptic number.

10407240441600 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 10407240441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18175398700032).

10407240441600 is an abundant number, since it is smaller than the sum of its proper divisors (25943556958464).

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

10407240441600 is a wasteful number, since it uses less digits than its factorization.

10407240441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 10407240441600 in words is "ten trillion, four hundred seven billion, two hundred forty million, four hundred forty-one thousand, six hundred".