451403696640 has 640 divisors, whose sum is σ = 1652699220480. Its totient is φ = 104250212352.

The previous prime is 451403696621. The next prime is 451403696671. The reversal of 451403696640 is 46696304154.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 451403696640.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121703106 + ... + 121706814.

It is an arithmetic number, because the mean of its divisors is an integer number (2582342532).

Almost surely, 2^451403696640 is an apocalyptic number.

451403696640 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 451403696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826349610240).

451403696640 is an abundant number, since it is smaller than the sum of its proper divisors (1201295523840).

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

451403696640 is a wasteful number, since it uses less digits than its factorization.

451403696640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3824 (or 3808 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 451403696640 in words is "four hundred fifty-one billion, four hundred three million, six hundred ninety-six thousand, six hundred forty".