1451329440 has 768 divisors, whose sum is σ = 5957038080. Its totient is φ = 291962880.

The previous prime is 1451329427. The next prime is 1451329483. The reversal of 1451329440 is 449231541.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39225102 + ... + 39225138.

It is an arithmetic number, because the mean of its divisors is an integer number (7756560).

Almost surely, 2^1451329440 is an apocalyptic number.

1451329440 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 1451329440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978519040).

1451329440 is an abundant number, since it is smaller than the sum of its proper divisors (4505708640).

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

1451329440 is a wasteful number, since it uses less digits than its factorization.

1451329440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 1451329440 is about 38096.3179323147. The cubic root of 1451329440 is about 1132.1970048401.

It can be divided in two parts, 1451 and 329440, that added together give a triangular number (330891 = T₈₁₃).

The spelling of 1451329440 in words is "one billion, four hundred fifty-one million, three hundred twenty-nine thousand, four hundred forty".