126161444400 has 480 divisors, whose sum is σ = 425375440896. Its totient is φ = 31933440000.

The previous prime is 126161444389. The next prime is 126161444401. The reversal of 126161444400 is 4444161621.

It is not an unprimeable number, because it can be changed into a prime (126161444401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 381152235 + ... + 381152565.

Almost surely, 2^126161444400 is an apocalyptic number.

126161444400 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 126161444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212687720448).

126161444400 is an abundant number, since it is smaller than the sum of its proper divisors (299213996496).

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

126161444400 is a wasteful number, since it uses less digits than its factorization.

126161444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 126161444400 in words is "one hundred twenty-six billion, one hundred sixty-one million, four hundred forty-four thousand, four hundred".