126025357440 has 256 divisors, whose sum is σ = 428455422720. Its totient is φ = 31397904384.

The previous prime is 126025357421. The next prime is 126025357477. The reversal of 126025357440 is 44753520621.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4457589 + ... + 4485771.

It is an arithmetic number, because the mean of its divisors is an integer number (1673653995).

Almost surely, 2^126025357440 is an apocalyptic number.

126025357440 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 126025357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214227711360).

126025357440 is an abundant number, since it is smaller than the sum of its proper divisors (302430065280).

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

126025357440 is a wasteful number, since it uses less digits than its factorization.

126025357440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28359 (or 28347 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 126025357440 in words is "one hundred twenty-six billion, twenty-five million, three hundred fifty-seven thousand, four hundred forty".