451007949840 has 160 divisors (see below), whose sum is σ = 1598051932416. Its totient is φ = 103074938880.

The previous prime is 451007949811. The next prime is 451007949853. The reversal of 451007949840 is 48949700154.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 26469964 + ... + 26486996.

Almost surely, 2^451007949840 is an apocalyptic number.

451007949840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

451007949840 is an abundant number, since it is smaller than the sum of its proper divisors (1147043982576).

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

451007949840 is a wasteful number, since it uses less digits than its factorization.

451007949840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32817 (or 32811 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 451007949840 in words is "four hundred fifty-one billion, seven million, nine hundred forty-nine thousand, eight hundred forty".