126309440088 has 384 divisors, whose sum is σ = 399803040000. Its totient is φ = 35677863936.

The previous prime is 126309440063. The next prime is 126309440143. The reversal of 126309440088 is 880044903621.

It is a happy number.

126309440088 is a `hidden beast` number, since 1 + 2 + 630 + 9 + 4 + 4 + 0 + 0 + 8 + 8 = 666.

It is a super-2 number, since 2×126309440088² (a number of 23 digits) contains 22 as substring.

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, 111876708 + ... + 111877836.

It is an arithmetic number, because the mean of its divisors is an integer number (1041153750).

Almost surely, 2^126309440088 is an apocalyptic number.

126309440088 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 126309440088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199901520000).

126309440088 is an abundant number, since it is smaller than the sum of its proper divisors (273493599912).

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

126309440088 is a wasteful number, since it uses less digits than its factorization.

126309440088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 126309440088 in words is "one hundred twenty-six billion, three hundred nine million, four hundred forty thousand, eighty-eight".