4235430400000 has 312 divisors, whose sum is σ = 10638276247368. Its totient is φ = 1685913600000.

The previous prime is 4235430399961. The next prime is 4235430400039. The reversal of 4235430400000 is 40345324.

It is an interprime number because it is at equal distance from previous prime (4235430399961) and next prime (4235430400039).

It can be written as a sum of positive squares in 12 ways, for example, as 3230560485376 + 1004869914624 = 1797376^2 + 1002432^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3084799314 + ... + 3084800686.

Almost surely, 2^{4235430400000} is an apocalyptic number.

4235430400000 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 4235430400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5319138123684).

4235430400000 is an abundant number, since it is smaller than the sum of its proper divisors (6402845847368).

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

4235430400000 is an frugal number, since it uses more digits than its factorization.

4235430400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 4235430400000 its reverse (40345324), we get a palindrome (4235470745324).

The spelling of 4235430400000 in words is "four trillion, two hundred thirty-five billion, four hundred thirty million, four hundred thousand".