126383063040 has 768 divisors, whose sum is σ = 498086971200. Its totient is φ = 29387390976.

The previous prime is 126383063029. The next prime is 126383063069. The reversal of 126383063040 is 40360383621.

126383063040 is a `hidden beast` number, since 12 + 6 + 3 + 8 + 3 + 0 + 630 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×126383063040² (a number of 23 digits) contains 22 as substring.

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 = 126383062986 and 126383063004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364216147 + ... + 364216493.

Almost surely, 2^126383063040 is an apocalyptic number.

126383063040 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 126383063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249043485600).

126383063040 is an abundant number, since it is smaller than the sum of its proper divisors (371703908160).

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

126383063040 is a wasteful number, since it uses less digits than its factorization.

126383063040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 126383063040 in words is "one hundred twenty-six billion, three hundred eighty-three million, sixty-three thousand, forty".