451387067040 has 1920 divisors, whose sum is σ = 2047013337600. Its totient is φ = 93055205376.

The previous prime is 451387067029. The next prime is 451387067069. The reversal of 451387067040 is 40760783154.

451387067040 is a `hidden beast` number, since 4 + 513 + 8 + 70 + 67 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4218570667 + ... + 4218570773.

It is an arithmetic number, because the mean of its divisors is an integer number (1066152780).

Almost surely, 2^451387067040 is an apocalyptic number.

451387067040 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 451387067040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023506668800).

451387067040 is an abundant number, since it is smaller than the sum of its proper divisors (1595626270560).

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

451387067040 is a wasteful number, since it uses less digits than its factorization.

451387067040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 451387067040 in words is "four hundred fifty-one billion, three hundred eighty-seven million, sixty-seven thousand, forty".