1432696040640 has 672 divisors, whose sum is σ = 5212432592640. Its totient is φ = 374499127296.

The previous prime is 1432696040627. The next prime is 1432696040717. The reversal of 1432696040640 is 460406962341.

1432696040640 is a `hidden beast` number, since 1 + 4 + 32 + 6 + 9 + 604 + 0 + 6 + 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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 897116322 + ... + 897117918.

It is an arithmetic number, because the mean of its divisors is an integer number (7756596120).

Almost surely, 2^{1432696040640} is an apocalyptic number.

1432696040640 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 1432696040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606216296320).

1432696040640 is an abundant number, since it is smaller than the sum of its proper divisors (3779736552000).

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

1432696040640 is a wasteful number, since it uses less digits than its factorization.

1432696040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 1432696040640 in words is "one trillion, four hundred thirty-two billion, six hundred ninety-six million, forty thousand, six hundred forty".