4137605340 has 192 divisors, whose sum is σ = 13352435712. Its totient is φ = 947923200.

The previous prime is 4137605321. The next prime is 4137605347. The reversal of 4137605340 is 435067314.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4137605347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 877429 + ... + 882131.

It is an arithmetic number, because the mean of its divisors is an integer number (69543936).

Almost surely, 2^4137605340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4137605340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6676217856).

4137605340 is an abundant number, since it is smaller than the sum of its proper divisors (9214830372).

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

4137605340 is a wasteful number, since it uses less digits than its factorization.

4137605340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4800 (or 4798 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 4137605340 is about 64324.2204772044. The cubic root of 4137605340 is about 1605.3991224093.

The spelling of 4137605340 in words is "four billion, one hundred thirty-seven million, six hundred five thousand, three hundred forty".