126427741440 has 1152 divisors, whose sum is σ = 560152018944. Its totient is φ = 23445504000.

The previous prime is 126427741423. The next prime is 126427741477. The reversal of 126427741440 is 44147724621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 126427741392 and 126427741401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 119158510 + ... + 119159570.

It is an arithmetic number, because the mean of its divisors is an integer number (486243072).

Almost surely, 2^126427741440 is an apocalyptic number.

126427741440 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 126427741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280076009472).

126427741440 is an abundant number, since it is smaller than the sum of its proper divisors (433724277504).

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

126427741440 is a wasteful number, since it uses less digits than its factorization.

126427741440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 126427741440 in words is "one hundred twenty-six billion, four hundred twenty-seven million, seven hundred forty-one thousand, four hundred forty".