434624542120000 has 560 divisors, whose sum is σ = 1119413626974720. Its totient is φ = 167198054400000.

The previous prime is 434624542119983. The next prime is 434624542120001. The reversal of 434624542120000 is 21245426434.

It is a super-2 number, since 2×434624542120000² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (434624542120001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 214206278986 + ... + 214206281014.

It is an arithmetic number, because the mean of its divisors is an integer number (1998952905312).

Almost surely, 2^{434624542120000} is an apocalyptic number.

434624542120000 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 434624542120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559706813487360).

434624542120000 is an abundant number, since it is smaller than the sum of its proper divisors (684789084854720).

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

434624542120000 is a wasteful number, since it uses less digits than its factorization.

434624542120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3080 (or 3055 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 37.

Adding to 434624542120000 its reverse (21245426434), we get a palindrome (434645787546434).

The spelling of 434624542120000 in words is "four hundred thirty-four trillion, six hundred twenty-four billion, five hundred forty-two million, one hundred twenty thousand".