4000436516560 has 160 divisors (see below), whose sum is σ = 10330330816512. Its totient is φ = 1428567421440.

The previous prime is 4000436516551. The next prime is 4000436516569. The reversal of 4000436516560 is 656156340004.

It is an interprime number because it is at equal distance from previous prime (4000436516551) and next prime (4000436516569).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000436516569) 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, 12033697 + ... + 12361663.

Almost surely, 2^{4000436516560} is an apocalyptic number.

4000436516560 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 4000436516560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5165165408256).

4000436516560 is an abundant number, since it is smaller than the sum of its proper divisors (6329894299952).

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

4000436516560 is a wasteful number, since it uses less digits than its factorization.

4000436516560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328241 (or 328235 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 4000436516560 in words is "four trillion, four hundred thirty-six million, five hundred sixteen thousand, five hundred sixty".