1641217440 has 192 divisors, whose sum is σ = 5511131136. Its totient is φ = 409592832.

The previous prime is 1641217439. The next prime is 1641217447. The reversal of 1641217440 is 447121461.

1641217440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1641217398 and 1641217407.

It is not an unprimeable number, because it can be changed into a prime (1641217447) 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, 517299 + ... + 520461.

It is an arithmetic number, because the mean of its divisors is an integer number (28703808).

Almost surely, 2^1641217440 is an apocalyptic number.

1641217440 is a gapful number since it is divisible by the number (10) 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 1641217440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755565568).

1641217440 is an abundant number, since it is smaller than the sum of its proper divisors (3869913696).

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

1641217440 is a wasteful number, since it uses less digits than its factorization.

1641217440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3251 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1641217440 is about 40511.9419430864. The cubic root of 1641217440 is about 1179.5654437402.

The spelling of 1641217440 in words is "one billion, six hundred forty-one million, two hundred seventeen thousand, four hundred forty".