1431641840640 has 1408 divisors, whose sum is σ = 5726045260800. Its totient is φ = 300668682240.

The previous prime is 1431641840633. The next prime is 1431641840669. The reversal of 1431641840640 is 460481461341.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a junction number, because it is equal to n+sod(n) for n = 1431641840592 and 1431641840601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2019240606 + ... + 2019241314.

Almost surely, 2^{1431641840640} is an apocalyptic number.

1431641840640 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 1431641840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863022630400).

1431641840640 is an abundant number, since it is smaller than the sum of its proper divisors (4294403420160).

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

1431641840640 is a wasteful number, since it uses less digits than its factorization.

1431641840640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 1431641840640 in words is "one trillion, four hundred thirty-one billion, six hundred forty-one million, eight hundred forty thousand, six hundred forty".