4061760000000 has 416 divisors, whose sum is σ = 13540712210688. Its totient is φ = 1082880000000.

The previous prime is 4061759999977. The next prime is 4061760000043. The reversal of 4061760000000 is 671604.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 959997885 + ... + 960002115.

It is an arithmetic number, because the mean of its divisors is an integer number (32549788968).

Almost surely, 2^{4061760000000} is an apocalyptic number.

4061760000000 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 4061760000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6770356105344).

4061760000000 is an abundant number, since it is smaller than the sum of its proper divisors (9478952210688).

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

4061760000000 is an frugal number, since it uses more digits than its factorization.

4061760000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4293 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

Adding to 4061760000000 its reverse (671604), we get a palindrome (4061760671604).

The spelling of 4061760000000 in words is "four trillion, sixty-one billion, seven hundred sixty million", and thus it is an aban number.