451452088967040 has 2560 divisors, whose sum is σ = 1972898834227200. Its totient is φ = 96190488576000.

The previous prime is 451452088966993. The next prime is 451452088967041. The reversal of 451452088967040 is 40769880254154.

It is a happy number.

451452088967040 is a `hidden beast` number, since 4 + 5 + 1 + 4 + 520 + 8 + 8 + 9 + 67 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451452088967041) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 42038553991 + ... + 42038564729.

It is an arithmetic number, because the mean of its divisors is an integer number (770663607120).

Almost surely, 2^{451452088967040} is an apocalyptic number.

451452088967040 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 451452088967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986449417113600).

451452088967040 is an abundant number, since it is smaller than the sum of its proper divisors (1521446745260160).

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

451452088967040 is a wasteful number, since it uses less digits than its factorization.

451452088967040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10946 (or 10925 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 451452088967040 in words is "four hundred fifty-one trillion, four hundred fifty-two billion, eighty-eight million, nine hundred sixty-seven thousand, forty".