434320001233400 has 48 divisors (see below), whose sum is σ = 1022576205472800. Its totient is φ = 171528911873280.

The previous prime is 434320001233399. The next prime is 434320001233427. The reversal of 434320001233400 is 4332100023434.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13744288037 + ... + 13744319636.

It is an arithmetic number, because the mean of its divisors is an integer number (21303670947350).

Almost surely, 2^{434320001233400} is an apocalyptic number.

434320001233400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434320001233400 is an abundant number, since it is smaller than the sum of its proper divisors (588256204239400).

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

434320001233400 is a wasteful number, since it uses less digits than its factorization.

434320001233400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27488607768 (or 27488607759 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 434320001233400 its reverse (4332100023434), we get a palindrome (438652101256834).

The spelling of 434320001233400 in words is "four hundred thirty-four trillion, three hundred twenty billion, one million, two hundred thirty-three thousand, four hundred".