430361648640 has 960 divisors, whose sum is σ = 1920587074560. Its totient is φ = 89413632000.

The previous prime is 430361648609. The next prime is 430361648719. The reversal of 430361648640 is 46846163034.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×430361648640² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58540965 + ... + 58548315.

It is an arithmetic number, because the mean of its divisors is an integer number (2000611536).

Almost surely, 2^430361648640 is an apocalyptic number.

430361648640 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 430361648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960293537280).

430361648640 is an abundant number, since it is smaller than the sum of its proper divisors (1490225425920).

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

430361648640 is a wasteful number, since it uses less digits than its factorization.

430361648640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7412 (or 7379 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 430361648640 in words is "four hundred thirty billion, three hundred sixty-one million, six hundred forty-eight thousand, six hundred forty".