10507442400 has 1296 divisors, whose sum is σ = 48625012800. Its totient is φ = 2113413120.

The previous prime is 10507442381. The next prime is 10507442401. The reversal of 10507442400 is 424470501.

It is a super-2 number, since 2×10507442400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10507442401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 133005561 + ... + 133005639.

It is an arithmetic number, because the mean of its divisors is an integer number (37519300).

Almost surely, 2^10507442400 is an apocalyptic number.

10507442400 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 10507442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24312506400).

10507442400 is an abundant number, since it is smaller than the sum of its proper divisors (38117570400).

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

10507442400 is a wasteful number, since it uses less digits than its factorization.

10507442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The spelling of 10507442400 in words is "ten billion, five hundred seven million, four hundred forty-two thousand, four hundred".