1653641440 has 96 divisors (see below), whose sum is σ = 4486285440. Its totient is φ = 569664000.

The previous prime is 1653641399. The next prime is 1653641447. The reversal of 1653641440 is 441463561.

It is a junction number, because it is equal to n+sod(n) for n = 1653641396 and 1653641405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1653641447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8715 + ... + 58165.

It is an arithmetic number, because the mean of its divisors is an integer number (46732140).

Almost surely, 2^1653641440 is an apocalyptic number.

1653641440 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 1653641440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243142720).

1653641440 is an abundant number, since it is smaller than the sum of its proper divisors (2832644000).

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

1653641440 is a wasteful number, since it uses less digits than its factorization.

1653641440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49496 (or 49488 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 1653641440 is about 40664.9903479639. The cubic root of 1653641440 is about 1182.5343976096.

The spelling of 1653641440 in words is "one billion, six hundred fifty-three million, six hundred forty-one thousand, four hundred forty".