1451144640 has 224 divisors, whose sum is σ = 5069433600. Its totient is φ = 348774400.

The previous prime is 1451144623. The next prime is 1451144641. The reversal of 1451144640 is 464411541.

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 = 1451144598 and 1451144607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1451144641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1382836 + ... + 1383884.

It is an arithmetic number, because the mean of its divisors is an integer number (22631400).

Almost surely, 2^1451144640 is an apocalyptic number.

1451144640 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 1451144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534716800).

1451144640 is an abundant number, since it is smaller than the sum of its proper divisors (3618288960).

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

1451144640 is a wasteful number, since it uses less digits than its factorization.

1451144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 1451144640 is about 38093.8924238519. The cubic root of 1451144640 is about 1132.1489480075.

The spelling of 1451144640 in words is "one billion, four hundred fifty-one million, one hundred forty-four thousand, six hundred forty".