126026493408 has 192 divisors, whose sum is σ = 382815720000. Its totient is φ = 40286840832.

The previous prime is 126026493407. The next prime is 126026493449. The reversal of 126026493408 is 804394620621.

126026493408 is a `hidden beast` number, since 1 + 2 + 602 + 6 + 4 + 9 + 34 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126026493407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3716466 + ... + 3750222.

It is an arithmetic number, because the mean of its divisors is an integer number (1993831875).

Almost surely, 2^126026493408 is an apocalyptic number.

126026493408 is a gapful number since it is divisible by the number (18) 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 126026493408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191407860000).

126026493408 is an abundant number, since it is smaller than the sum of its proper divisors (256789226592).

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

126026493408 is a wasteful number, since it uses less digits than its factorization.

126026493408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33954 (or 33940 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 126026493408 in words is "one hundred twenty-six billion, twenty-six million, four hundred ninety-three thousand, four hundred eight".