126410036742 has 192 divisors, whose sum is σ = 315247375872. Its totient is φ = 36235584000.

The previous prime is 126410036729. The next prime is 126410036759. The reversal of 126410036742 is 247630014621.

126410036742 is a `hidden beast` number, since 1 + 2 + 641 + 0 + 0 + 3 + 6 + 7 + 4 + 2 = 666.

It is a super-2 number, since 2×126410036742² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 126410036697 and 126410036706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 221383317 + ... + 221383887.

It is an arithmetic number, because the mean of its divisors is an integer number (1641913416).

Almost surely, 2^126410036742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126410036742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157623687936).

126410036742 is an abundant number, since it is smaller than the sum of its proper divisors (188837339130).

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

126410036742 is a wasteful number, since it uses less digits than its factorization.

126410036742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 126410036742 in words is "one hundred twenty-six billion, four hundred ten million, thirty-six thousand, seven hundred forty-two".