126446360040 has 1920 divisors, whose sum is σ = 600821222400. Its totient is φ = 23471078400.

The previous prime is 126446360023. The next prime is 126446360069. The reversal of 126446360040 is 40063644621.

126446360040 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 4 + 6 + 3 + 600 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 126446359977 and 126446360004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4078914825 + ... + 4078914855.

It is an arithmetic number, because the mean of its divisors is an integer number (312927720).

Almost surely, 2^126446360040 is an apocalyptic number.

126446360040 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 126446360040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300410611200).

126446360040 is an abundant number, since it is smaller than the sum of its proper divisors (474374862360).

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

126446360040 is a wasteful number, since it uses less digits than its factorization.

126446360040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 126446360040 in words is "one hundred twenty-six billion, four hundred forty-six million, three hundred sixty thousand, forty".