451402265440 has 192 divisors, whose sum is σ = 1287643392000. Its totient is φ = 146249865216.

The previous prime is 451402265423. The next prime is 451402265459. The reversal of 451402265440 is 44562204154.

It is a self number, because there is not a number n which added to its sum of digits gives 451402265440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1378711 + ... + 1674409.

It is an arithmetic number, because the mean of its divisors is an integer number (6706476000).

Almost surely, 2^451402265440 is an apocalyptic number.

451402265440 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 451402265440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643821696000).

451402265440 is an abundant number, since it is smaller than the sum of its proper divisors (836241126560).

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

451402265440 is a wasteful number, since it uses less digits than its factorization.

451402265440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295797 (or 295789 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 37.

Adding to 451402265440 its reverse (44562204154), we get a palindrome (495964469594).

The spelling of 451402265440 in words is "four hundred fifty-one billion, four hundred two million, two hundred sixty-five thousand, four hundred forty".