126104732040 has 512 divisors, whose sum is σ = 468840960000. Its totient is φ = 27046268928.

The previous prime is 126104731997. The next prime is 126104732071. The reversal of 126104732040 is 40237401621.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 126104731989 and 126104732007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 88369807 + ... + 88371233.

It is an arithmetic number, because the mean of its divisors is an integer number (915705000).

Almost surely, 2^126104732040 is an apocalyptic number.

126104732040 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 126104732040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234420480000).

126104732040 is an abundant number, since it is smaller than the sum of its proper divisors (342736227960).

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

126104732040 is a wasteful number, since it uses less digits than its factorization.

126104732040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 126104732040 in words is "one hundred twenty-six billion, one hundred four million, seven hundred thirty-two thousand, forty".