434124101400 has 768 divisors, whose sum is σ = 1561775040000. Its totient is φ = 98780774400.

The previous prime is 434124101363. The next prime is 434124101417. The reversal of 434124101400 is 4101421434.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1243908426 + ... + 1243908774.

It is an arithmetic number, because the mean of its divisors is an integer number (2033561250).

Almost surely, 2^434124101400 is an apocalyptic number.

434124101400 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 434124101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780887520000).

434124101400 is an abundant number, since it is smaller than the sum of its proper divisors (1127650938600).

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

434124101400 is a wasteful number, since it uses less digits than its factorization.

434124101400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 434124101400 its reverse (4101421434), we get a palindrome (438225522834).

The spelling of 434124101400 in words is "four hundred thirty-four billion, one hundred twenty-four million, one hundred one thousand, four hundred".