1451451640320 has 1280 divisors, whose sum is σ = 5831221777920. Its totient is φ = 339148800000.

The previous prime is 1451451640241. The next prime is 1451451640321. The reversal of 1451451640320 is 230461541541.

1451451640320 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 4 + 5 + 1 + 640 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1451451640321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3148484890 + ... + 3148485350.

It is an arithmetic number, because the mean of its divisors is an integer number (4555642014).

Almost surely, 2^{1451451640320} is an apocalyptic number.

1451451640320 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 1451451640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2915610888960).

1451451640320 is an abundant number, since it is smaller than the sum of its proper divisors (4379770137600).

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

1451451640320 is a wasteful number, since it uses less digits than its factorization.

1451451640320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 1451451640320 in words is "one trillion, four hundred fifty-one billion, four hundred fifty-one million, six hundred forty thousand, three hundred twenty".