451006643010 has 512 divisors, whose sum is σ = 1492663541760. Its totient is φ = 84348518400.

The previous prime is 451006642981. The next prime is 451006643039. The reversal of 451006643010 is 10346600154.

It is an interprime number because it is at equal distance from previous prime (451006642981) and next prime (451006643039).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 85723780 + ... + 85729040.

It is an arithmetic number, because the mean of its divisors is an integer number (2915358480).

Almost surely, 2^451006643010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451006643010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746331770880).

451006643010 is an abundant number, since it is smaller than the sum of its proper divisors (1041656898750).

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

451006643010 is a wasteful number, since it uses less digits than its factorization.

451006643010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5402.

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 451006643010 in words is "four hundred fifty-one billion, six million, six hundred forty-three thousand, ten".