435145340552340 has 192 divisors, whose sum is σ = 1399836818903040. Its totient is φ = 99887027535360.

The previous prime is 435145340552333. The next prime is 435145340552347. The reversal of 435145340552340 is 43255043541534.

It is an interprime number because it is at equal distance from previous prime (435145340552333) and next prime (435145340552347).

It is a super-3 number, since 3×435145340552340³ (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 435145340552340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (435145340552347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15947557 + ... + 33535283.

It is an arithmetic number, because the mean of its divisors is an integer number (7290816765120).

Almost surely, 2^{435145340552340} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 435145340552340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699918409451520).

435145340552340 is an abundant number, since it is smaller than the sum of its proper divisors (964691478350700).

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

435145340552340 is a wasteful number, since it uses less digits than its factorization.

435145340552340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17589742 (or 17589740 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 48.

The spelling of 435145340552340 in words is "four hundred thirty-five trillion, one hundred forty-five billion, three hundred forty million, five hundred fifty-two thousand, three hundred forty".