126694451136240 has 1280 divisors, whose sum is σ = 511571897303040. Its totient is φ = 28536319180800.

The previous prime is 126694451136203. The next prime is 126694451136269. The reversal of 126694451136240 is 42631154496621.

126694451136240 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 9 + 4 + 4 + 5 + 1 + 1 + 3 + 624 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 3387805222 + ... + 3387842618.

It is an arithmetic number, because the mean of its divisors is an integer number (399665544768).

Almost surely, 2^{126694451136240} is an apocalyptic number.

126694451136240 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 126694451136240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255785948651520).

126694451136240 is an abundant number, since it is smaller than the sum of its proper divisors (384877446166800).

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

126694451136240 is a wasteful number, since it uses less digits than its factorization.

126694451136240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37647 (or 37635 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 126694451136240 in words is "one hundred twenty-six trillion, six hundred ninety-four billion, four hundred fifty-one million, one hundred thirty-six thousand, two hundred forty".