126404833232640 has 576 divisors, whose sum is σ = 424217952829440. Its totient is φ = 32049205493760.

The previous prime is 126404833232581. The next prime is 126404833232641. The reversal of 126404833232640 is 46232338404621.

It is a super-2 number, since 2×126404833232640² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 126404833232640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126404833232641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 926089839 + ... + 926226321.

It is an arithmetic number, because the mean of its divisors is an integer number (736489501440).

Almost surely, 2^{126404833232640} is an apocalyptic number.

126404833232640 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 126404833232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212108976414720).

126404833232640 is an abundant number, since it is smaller than the sum of its proper divisors (297813119596800).

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

126404833232640 is a wasteful number, since it uses less digits than its factorization.

126404833232640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136700 (or 136686 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 48.

The spelling of 126404833232640 in words is "one hundred twenty-six trillion, four hundred four billion, eight hundred thirty-three million, two hundred thirty-two thousand, six hundred forty".