126733350400 has 120 divisors (see below), whose sum is σ = 314259339240. Its totient is φ = 50650152960.

The previous prime is 126733350397. The next prime is 126733350431. The reversal of 126733350400 is 4053337621.

It is a super-2 number, since 2×126733350400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18031687 + ... + 18038713.

It is an arithmetic number, because the mean of its divisors is an integer number (2618827827).

Almost surely, 2^126733350400 is an apocalyptic number.

126733350400 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 126733350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157129669620).

126733350400 is an abundant number, since it is smaller than the sum of its proper divisors (187525988840).

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

126733350400 is an equidigital number, since it uses as much as digits as its factorization.

126733350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8464 (or 8443 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 34.

The spelling of 126733350400 in words is "one hundred twenty-six billion, seven hundred thirty-three million, three hundred fifty thousand, four hundred".