126243087243840 has 2240 divisors, whose sum is σ = 564695795980800. Its totient is φ = 26102946594816.

The previous prime is 126243087243829. The next prime is 126243087243907. The reversal of 126243087243840 is 48342780342621.

126243087243840 is a `hidden beast` number, since 1 + 2 + 6 + 243 + 0 + 87 + 243 + 84 + 0 = 666.

126243087243840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 20484028599 + ... + 20484034761.

Almost surely, 2^{126243087243840} is an apocalyptic number.

126243087243840 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 126243087243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282347897990400).

126243087243840 is an abundant number, since it is smaller than the sum of its proper divisors (438452708736960).

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

126243087243840 is a wasteful number, since it uses less digits than its factorization.

126243087243840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6474 (or 6455 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 126243087243840 in words is "one hundred twenty-six trillion, two hundred forty-three billion, eighty-seven million, two hundred forty-three thousand, eight hundred forty".