126405305040 has 160 divisors (see below), whose sum is σ = 449490087936. Its totient is φ = 28785922560.

The previous prime is 126405305017. The next prime is 126405305057. The reversal of 126405305040 is 40503504621.

It is a super-2 number, since 2×126405305040² (a number of 23 digits) contains 22 as substring.

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 = 126405304989 and 126405305007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316459 + ... + 594101.

Almost surely, 2^126405305040 is an apocalyptic number.

126405305040 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 126405305040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224745043968).

126405305040 is an abundant number, since it is smaller than the sum of its proper divisors (323084782896).

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

126405305040 is a wasteful number, since it uses less digits than its factorization.

126405305040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277937 (or 277931 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 126405305040 its reverse (40503504621), we get a palindrome (166908809661).

The spelling of 126405305040 in words is "one hundred twenty-six billion, four hundred five million, three hundred five thousand, forty".