126931828861440 has 640 divisors, whose sum is σ = 478675872069120. Its totient is φ = 31771881897984.

The previous prime is 126931828861427. The next prime is 126931828861463. The reversal of 126931828861440 is 44168828139621.

It is a happy number.

126931828861440 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 3 + 1 + 8 + 2 + 8 + 8 + 614 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×126931828861440² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 438145117 + ... + 438434723.

It is an arithmetic number, because the mean of its divisors is an integer number (747931050108).

Almost surely, 2^{126931828861440} is an apocalyptic number.

126931828861440 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 126931828861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239337936034560).

126931828861440 is an abundant number, since it is smaller than the sum of its proper divisors (351744043207680).

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

126931828861440 is a wasteful number, since it uses less digits than its factorization.

126931828861440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290029 (or 290007 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 126931828861440 in words is "one hundred twenty-six trillion, nine hundred thirty-one billion, eight hundred twenty-eight million, eight hundred sixty-one thousand, four hundred forty".