434001401400 has 192 divisors, whose sum is σ = 1628052583680. Its totient is φ = 93364992000.

The previous prime is 434001401357. The next prime is 434001401441. The reversal of 434001401400 is 4104100434.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2967826 + ... + 3110625.

It is an arithmetic number, because the mean of its divisors is an integer number (8479440540).

Almost surely, 2^434001401400 is an apocalyptic number.

434001401400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434001401400 is an abundant number, since it is smaller than the sum of its proper divisors (1194051182280).

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

434001401400 is a wasteful number, since it uses less digits than its factorization.

434001401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6078494 (or 6078485 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 434001401400 its reverse (4104100434), we get a palindrome (438105501834).

The spelling of 434001401400 in words is "four hundred thirty-four billion, one million, four hundred one thousand, four hundred".