126840944384 has 288 divisors, whose sum is σ = 329622569472. Its totient is φ = 47278080000.

The previous prime is 126840944381. The next prime is 126840944393. The reversal of 126840944384 is 483449048621.

It is a super-2 number, since 2×126840944384² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126840944381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44488559 + ... + 44491409.

Almost surely, 2^126840944384 is an apocalyptic number.

126840944384 is a gapful number since it is divisible by the number (14) 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 126840944384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164811284736).

126840944384 is an abundant number, since it is smaller than the sum of its proper divisors (202781625088).

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

126840944384 is a wasteful number, since it uses less digits than its factorization.

126840944384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 53.

The spelling of 126840944384 in words is "one hundred twenty-six billion, eight hundred forty million, nine hundred forty-four thousand, three hundred eighty-four".