4149826560 has 352 divisors, whose sum is σ = 16094332800. Its totient is φ = 1005649920.

The previous prime is 4149826553. The next prime is 4149826567. The reversal of 4149826560 is 656289414.

4149826560 is a `hidden beast` number, since 4 + 1 + 4 + 9 + 82 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (4149826553) and next prime (4149826567).

It is a tau number, because it is divible by the number of its divisors (352).

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 (4149826567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1519276 + ... + 1522004.

Almost surely, 2^4149826560 is an apocalyptic number.

4149826560 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 4149826560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8047166400).

4149826560 is an abundant number, since it is smaller than the sum of its proper divisors (11944506240).

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

4149826560 is a wasteful number, since it uses less digits than its factorization.

4149826560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4149826560 is about 64419.1474640887. The cubic root of 4149826560 is about 1606.9781879792.

The spelling of 4149826560 in words is "four billion, one hundred forty-nine million, eight hundred twenty-six thousand, five hundred sixty".