451535025040 has 160 divisors (see below), whose sum is σ = 1163054702592. Its totient is φ = 161649600000.

The previous prime is 451535025037. The next prime is 451535025047. The reversal of 451535025040 is 40520535154.

It is a junction number, because it is equal to n+sod(n) for n = 451535024987 and 451535025005.

It is not an unprimeable number, because it can be changed into a prime (451535025047) 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, 46917669 + ... + 46927291.

Almost surely, 2^451535025040 is an apocalyptic number.

451535025040 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 451535025040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581527351296).

451535025040 is an abundant number, since it is smaller than the sum of its proper divisors (711519677552).

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

451535025040 is a wasteful number, since it uses less digits than its factorization.

451535025040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10469 (or 10463 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 34.

The spelling of 451535025040 in words is "four hundred fifty-one billion, five hundred thirty-five million, twenty-five thousand, forty".