451133021240 has 128 divisors (see below), whose sum is σ = 1134145152000. Its totient is φ = 160095367680.

The previous prime is 451133021219. The next prime is 451133021249. The reversal of 451133021240 is 42120331154.

It is a happy number.

It is a super-2 number, since 2×451133021240² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451133021249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7186067 + ... + 7248573.

It is an arithmetic number, because the mean of its divisors is an integer number (8860509000).

Almost surely, 2^451133021240 is an apocalyptic number.

451133021240 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 451133021240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567072576000).

451133021240 is an abundant number, since it is smaller than the sum of its proper divisors (683012130760).

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

451133021240 is a wasteful number, since it uses less digits than its factorization.

451133021240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62925 (or 62921 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 451133021240 its reverse (42120331154), we get a palindrome (493253352394).

The spelling of 451133021240 in words is "four hundred fifty-one billion, one hundred thirty-three million, twenty-one thousand, two hundred forty".