451404547440 has 640 divisors, whose sum is σ = 1768686796800. Its totient is φ = 92515737600.

The previous prime is 451404547393. The next prime is 451404547453. The reversal of 451404547440 is 44745404154.

It is a super-2 number, since 2×451404547440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 451404547392 and 451404547401.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 481754652 + ... + 481755588.

It is an arithmetic number, because the mean of its divisors is an integer number (2763573120).

Almost surely, 2^451404547440 is an apocalyptic number.

451404547440 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 451404547440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884343398400).

451404547440 is an abundant number, since it is smaller than the sum of its proper divisors (1317282249360).

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

451404547440 is a wasteful number, since it uses less digits than its factorization.

451404547440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 42.

The spelling of 451404547440 in words is "four hundred fifty-one billion, four hundred four million, five hundred forty-seven thousand, four hundred forty".