4061521440 has 432 divisors, whose sum is σ = 14864712408. Its totient is φ = 1048080384.

The previous prime is 4061521439. The next prime is 4061521463. The reversal of 4061521440 is 441251604.

4061521440 is a `hidden beast` number, since 4 + 0 + 615 + 2 + 1 + 4 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3670905744 + 390615696 = 60588^2 + 19764^2 .

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55637244 + ... + 55637316.

Almost surely, 2^4061521440 is an apocalyptic number.

4061521440 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 4061521440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7432356204).

4061521440 is an abundant number, since it is smaller than the sum of its proper divisors (10803190968).

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

4061521440 is an frugal number, since it uses more digits than its factorization.

4061521440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4061521440 is about 63730.0670013770. The cubic root of 4061521440 is about 1595.4979482544.

The spelling of 4061521440 in words is "four billion, sixty-one million, five hundred twenty-one thousand, four hundred forty".