126062735040 has 672 divisors, whose sum is σ = 509601411072. Its totient is φ = 28283904000.

The previous prime is 126062735023. The next prime is 126062735041. The reversal of 126062735040 is 40537260621.

126062735040 is a `hidden beast` number, since 1 + 2 + 606 + 2 + 7 + 3 + 5 + 0 + 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 = 126062734986 and 126062735004.

It is not an unprimeable number, because it can be changed into a prime (126062735041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22585050 + ... + 22590630.

Almost surely, 2^126062735040 is an apocalyptic number.

126062735040 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 126062735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254800705536).

126062735040 is an abundant number, since it is smaller than the sum of its proper divisors (383538676032).

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

126062735040 is a wasteful number, since it uses less digits than its factorization.

126062735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5669 (or 5656 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 126062735040 its reverse (40537260621), we get a palindrome (166599995661).

The spelling of 126062735040 in words is "one hundred twenty-six billion, sixty-two million, seven hundred thirty-five thousand, forty".