430553305040 has 80 divisors (see below), whose sum is σ = 1015085530368. Its totient is φ = 169805841408.

The previous prime is 430553305033. The next prime is 430553305079. The reversal of 430553305040 is 40503355034.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×430553305040² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 430553304988 and 430553305006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20587229 + ... + 20608131.

Almost surely, 2^430553305040 is an apocalyptic number.

430553305040 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 430553305040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507542765184).

430553305040 is an abundant number, since it is smaller than the sum of its proper divisors (584532225328).

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

430553305040 is a wasteful number, since it uses less digits than its factorization.

430553305040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24516 (or 24510 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 32.

The spelling of 430553305040 in words is "four hundred thirty billion, five hundred fifty-three million, three hundred five thousand, forty".