4166497440 has 468 divisors, whose sum is σ = 17175630906. Its totient is φ = 952342272.

The previous prime is 4166497429. The next prime is 4166497451. The reversal of 4166497440 is 447946614.

4166497440 is a `hidden beast` number, since 4 + 166 + 49 + 7 + 440 = 666.

4166497440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4166497429) and next prime (4166497451).

It can be written as a sum of positive squares in only one way, i.e., 3749847696 + 416649744 = 61236^2 + 20412^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 77 ways as a sum of consecutive naturals, for example, 595213917 + ... + 595213923.

Almost surely, 2^4166497440 is an apocalyptic number.

4166497440 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 4166497440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8587815453).

4166497440 is an abundant number, since it is smaller than the sum of its proper divisors (13009133466).

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

4166497440 is an frugal number, since it uses more digits than its factorization.

4166497440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4166497440 is about 64548.4115993570. The cubic root of 4166497440 is about 1609.1271891744.

The spelling of 4166497440 in words is "four billion, one hundred sixty-six million, four hundred ninety-seven thousand, four hundred forty".