126016353440 has 96 divisors (see below), whose sum is σ = 299004773760. Its totient is φ = 50188401664.

The previous prime is 126016353433. The next prime is 126016353451. The reversal of 126016353440 is 44353610621.

It is a self number, because there is not a number n which added to its sum of digits gives 126016353440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54575006 + ... + 54577314.

It is an arithmetic number, because the mean of its divisors is an integer number (3114633060).

Almost surely, 2^126016353440 is an apocalyptic number.

126016353440 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 126016353440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149502386880).

126016353440 is an abundant number, since it is smaller than the sum of its proper divisors (172988420320).

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

126016353440 is a wasteful number, since it uses less digits than its factorization.

126016353440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3654 (or 3646 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 126016353440 in words is "one hundred twenty-six billion, sixteen million, three hundred fifty-three thousand, four hundred forty".