434045031840 has 960 divisors, whose sum is σ = 1902466621440. Its totient is φ = 90945607680.

The previous prime is 434045031817. The next prime is 434045031853. The reversal of 434045031840 is 48130540434.

434045031840 is a `hidden beast` number, since 434 + 0 + 45 + 0 + 3 + 184 + 0 = 666.

It is a super-2 number, since 2×434045031840² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 434045031795 and 434045031804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 53430019 + ... + 53438141.

It is an arithmetic number, because the mean of its divisors is an integer number (1981736064).

Almost surely, 2^434045031840 is an apocalyptic number.

434045031840 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 434045031840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951233310720).

434045031840 is an abundant number, since it is smaller than the sum of its proper divisors (1468421589600).

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

434045031840 is a wasteful number, since it uses less digits than its factorization.

434045031840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8207 (or 8190 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 434045031840 in words is "four hundred thirty-four billion, forty-five million, thirty-one thousand, eight hundred forty".