4136826498560 has 160 divisors (see below), whose sum is σ = 11385591275520. Its totient is φ = 1412090929152.

The previous prime is 4136826498547. The next prime is 4136826498589. The reversal of 4136826498560 is 658946286314.

It is a Cunningham number, because it is equal to 2033919²-1.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×4136826498560² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4136826498493 and 4136826498502.

It is a congruent number.

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, 3559361 + ... + 4576319.

It is an arithmetic number, because the mean of its divisors is an integer number (71159945472).

Almost surely, 2^{4136826498560} is an apocalyptic number.

4136826498560 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 4136826498560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5692795637760).

4136826498560 is an abundant number, since it is smaller than the sum of its proper divisors (7248764776960).

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

4136826498560 is a wasteful number, since it uses less digits than its factorization.

4136826498560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017216 (or 1017200 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 62.

The spelling of 4136826498560 in words is "four trillion, one hundred thirty-six billion, eight hundred twenty-six million, four hundred ninety-eight thousand, five hundred sixty".