451045401354240 has 896 divisors, whose sum is σ = 1800069967503360. Its totient is φ = 93688076697600.

The previous prime is 451045401354239. The next prime is 451045401354263. The reversal of 451045401354240 is 42453104540154.

It is a tau number, because it is divible by the number of its divisors (896).

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 = 451045401354192 and 451045401354201.

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 63 ways as a sum of consecutive naturals, for example, 30192468691 + ... + 30192483629.

It is an arithmetic number, because the mean of its divisors is an integer number (2009006660160).

Almost surely, 2^{451045401354240} is an apocalyptic number.

451045401354240 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 451045401354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900034983751680).

451045401354240 is an abundant number, since it is smaller than the sum of its proper divisors (1349024566149120).

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

451045401354240 is a wasteful number, since it uses less digits than its factorization.

451045401354240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18182 (or 18158 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

Adding to 451045401354240 its reverse (42453104540154), we get a palindrome (493498505894394).

The spelling of 451045401354240 in words is "four hundred fifty-one trillion, forty-five billion, four hundred one million, three hundred fifty-four thousand, two hundred forty".