126848368440 has 160 divisors (see below), whose sum is σ = 430573872960. Its totient is φ = 33491232000.

The previous prime is 126848368379. The next prime is 126848368453. The reversal of 126848368440 is 44863848621.

It is a happy number.

126848368440 is a `hidden beast` number, since 1 + 2 + 68 + 4 + 83 + 68 + 440 = 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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 133425 + ... + 521055.

It is an arithmetic number, because the mean of its divisors is an integer number (2691086706).

Almost surely, 2^126848368440 is an apocalyptic number.

126848368440 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 126848368440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215286936480).

126848368440 is an abundant number, since it is smaller than the sum of its proper divisors (303725504520).

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

126848368440 is a wasteful number, since it uses less digits than its factorization.

126848368440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387755 (or 387742 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 126848368440 in words is "one hundred twenty-six billion, eight hundred forty-eight million, three hundred sixty-eight thousand, four hundred forty".