4137661920 has 576 divisors, whose sum is σ = 16381854720. Its totient is φ = 872460288.

The previous prime is 4137661877. The next prime is 4137661921. The reversal of 4137661920 is 291667314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4137661921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21003262 + ... + 21003458.

It is an arithmetic number, because the mean of its divisors is an integer number (28440720).

Almost surely, 2^4137661920 is an apocalyptic number.

4137661920 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 4137661920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8190927360).

4137661920 is an abundant number, since it is smaller than the sum of its proper divisors (12244192800).

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

4137661920 is a wasteful number, since it uses less digits than its factorization.

4137661920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 4137661920 is about 64324.6602789319. The cubic root of 4137661920 is about 1605.4064400935.

The spelling of 4137661920 in words is "four billion, one hundred thirty-seven million, six hundred sixty-one thousand, nine hundred twenty".