453921661440 has 1440 divisors, whose sum is σ = 1863617595840. Its totient is φ = 101204951040.

The previous prime is 453921661439. The next prime is 453921661547. The reversal of 453921661440 is 44166129354.

453921661440 is a `hidden beast` number, since 4 + 5 + 3 + 9 + 21 + 6 + 614 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5468935639 + ... + 5468935721.

It is an arithmetic number, because the mean of its divisors is an integer number (1294178886).

Almost surely, 2^453921661440 is an apocalyptic number.

453921661440 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 453921661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931808797920).

453921661440 is an abundant number, since it is smaller than the sum of its proper divisors (1409695934400).

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

453921661440 is a wasteful number, since it uses less digits than its factorization.

453921661440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 453921661440 in words is "four hundred fifty-three billion, nine hundred twenty-one million, six hundred sixty-one thousand, four hundred forty".