4136745840 has 160 divisors (see below), whose sum is σ = 13199155200. Its totient is φ = 1071114240.

The previous prime is 4136745839. The next prime is 4136745841. The reversal of 4136745840 is 485476314.

It is an interprime number because it is at equal distance from previous prime (4136745839) and next prime (4136745841).

It is a super-2 number, since 2×4136745840² = 34225332289514611200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4136745792 and 4136745801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4136745841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2350881 + ... + 2352639.

It is an arithmetic number, because the mean of its divisors is an integer number (82494720).

Almost surely, 2^4136745840 is an apocalyptic number.

4136745840 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 4136745840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6599577600).

4136745840 is an abundant number, since it is smaller than the sum of its proper divisors (9062409360).

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

4136745840 is a wasteful number, since it uses less digits than its factorization.

4136745840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 4136745840 is about 64317.5391320284. The cubic root of 4136745840 is about 1605.2879521399.

The spelling of 4136745840 in words is "four billion, one hundred thirty-six million, seven hundred forty-five thousand, eight hundred forty".