4126359905280 has 1056 divisors, whose sum is σ = 15713433590400. Its totient is φ = 1035395923968.

The previous prime is 4126359905251. The next prime is 4126359905281. The reversal of 4126359905280 is 825099536214.

4126359905280 is a `hidden beast` number, since 4 + 1 + 2 + 6 + 359 + 9 + 0 + 5 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4126359905281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4089553416 + ... + 4089554424.

Almost surely, 2^{4126359905280} is an apocalyptic number.

4126359905280 is a gapful number since it is divisible by the number (40) 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 4126359905280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7856716795200).

4126359905280 is an abundant number, since it is smaller than the sum of its proper divisors (11587073685120).

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

4126359905280 is a wasteful number, since it uses less digits than its factorization.

4126359905280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 4126359905280 in words is "four trillion, one hundred twenty-six billion, three hundred fifty-nine million, nine hundred five thousand, two hundred eighty".