435234252000000 has 252 divisors, whose sum is σ = 1447928789868008. Its totient is φ = 116062464000000.

The previous prime is 435234251999983. The next prime is 435234252000013. The reversal of 435234252000000 is 252432534.

It is a super-2 number, since 2×435234252000000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6134761 + ... + 30134760.

Almost surely, 2^{435234252000000} is an apocalyptic number.

435234252000000 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 435234252000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723964394934004).

435234252000000 is an abundant number, since it is smaller than the sum of its proper divisors (1012694537868008).

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

435234252000000 is an frugal number, since it uses more digits than its factorization.

435234252000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36269570 (or 36269531 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The spelling of 435234252000000 in words is "four hundred thirty-five trillion, two hundred thirty-four billion, two hundred fifty-two million", and thus it is an aban number.