126703416840 has 768 divisors, whose sum is σ = 525943756800. Its totient is φ = 23698022400.

The previous prime is 126703416821. The next prime is 126703416869. The reversal of 126703416840 is 48614307621.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 126703416792 and 126703416801.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64022971 + ... + 64024949.

It is an arithmetic number, because the mean of its divisors is an integer number (684822600).

Almost surely, 2^126703416840 is an apocalyptic number.

126703416840 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 126703416840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262971878400).

126703416840 is an abundant number, since it is smaller than the sum of its proper divisors (399240339960).

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

126703416840 is a wasteful number, since it uses less digits than its factorization.

126703416840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 126703416840 in words is "one hundred twenty-six billion, seven hundred three million, four hundred sixteen thousand, eight hundred forty".