1451405006640 has 60 divisors (see below), whose sum is σ = 4874301816384. Its totient is φ = 387041334912.

The previous prime is 1451405006549. The next prime is 1451405006659. The reversal of 1451405006640 is 466005041541.

1451405006640 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 4 + 0 + 5 + 0 + 0 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1451405006595 and 1451405006604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1007919424 + ... + 1007920863.

Almost surely, 2^{1451405006640} is an apocalyptic number.

1451405006640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1451405006640 is an abundant number, since it is smaller than the sum of its proper divisors (3422896809744).

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

1451405006640 is a wasteful number, since it uses less digits than its factorization.

1451405006640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015840306 (or 2015840297 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 1451405006640 in words is "one trillion, four hundred fifty-one billion, four hundred five million, six thousand, six hundred forty".