1408864040640 has 504 divisors, whose sum is σ = 5674990885200. Its totient is φ = 319860043776.

The previous prime is 1408864040599. The next prime is 1408864040663. The reversal of 1408864040640 is 460404688041.

1408864040640 is a `hidden beast` number, since 140 + 8 + 8 + 64 + 0 + 406 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20993379 + ... + 21060381.

It is an arithmetic number, because the mean of its divisors is an integer number (11259902550).

Almost surely, 2^{1408864040640} is an apocalyptic number.

1408864040640 is a gapful number since it is divisible by the number (10) 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 1408864040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2837495442600).

1408864040640 is an abundant number, since it is smaller than the sum of its proper divisors (4266126844560).

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

1408864040640 is a wasteful number, since it uses less digits than its factorization.

1408864040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67189 (or 67169 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 1408864040640 in words is "one trillion, four hundred eight billion, eight hundred sixty-four million, forty thousand, six hundred forty".