4136795640 has 192 divisors, whose sum is σ = 14854881600. Its totient is φ = 993079296.

The previous prime is 4136795627. The next prime is 4136795647. The reversal of 4136795640 is 465976314.

4136795640 is a `hidden beast` number, since 4 + 13 + 6 + 79 + 564 + 0 = 666.

It is a super-2 number, since 2×4136795640² = 34226156334246019200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4136795647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126066 + ... + 155454.

It is an arithmetic number, because the mean of its divisors is an integer number (77369175).

Almost surely, 2^4136795640 is an apocalyptic number.

4136795640 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 4136795640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7427440800).

4136795640 is an abundant number, since it is smaller than the sum of its proper divisors (10718085960).

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

4136795640 is a wasteful number, since it uses less digits than its factorization.

4136795640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29446 (or 29439 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 4136795640 is about 64317.9262725408. The cubic root of 4136795640 is about 1605.2943938393.

The spelling of 4136795640 in words is "four billion, one hundred thirty-six million, seven hundred ninety-five thousand, six hundred forty".