434320774155072 has 672 divisors, whose sum is σ = 1492056111436800. Its totient is φ = 122696531066880.

The previous prime is 434320774155071. The next prime is 434320774155083. The reversal of 434320774155072 is 270551477023434.

434320774155072 is a `hidden beast` number, since 4 + 3 + 4 + 3 + 20 + 77 + 41 + 5 + 507 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×434320774155072² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434320774155071) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11520731679 + ... + 11520769377.

It is an arithmetic number, because the mean of its divisors is an integer number (2220321594400).

Almost surely, 2^{434320774155072} is an apocalyptic number.

434320774155072 is a gapful number since it is divisible by the number (42) 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 434320774155072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746028055718400).

434320774155072 is an abundant number, since it is smaller than the sum of its proper divisors (1057735337281728).

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

434320774155072 is a wasteful number, since it uses less digits than its factorization.

434320774155072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38921 (or 38899 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 54.

The spelling of 434320774155072 in words is "four hundred thirty-four trillion, three hundred twenty billion, seven hundred seventy-four million, one hundred fifty-five thousand, seventy-two".