434471040000 has 1650 divisors, whose sum is σ = 1781615067870. Its totient is φ = 105283584000.

The previous prime is 434471039987. The next prime is 434471040043. The reversal of 434471040000 is 40174434.

It can be written as a sum of positive squares in 15 ways, for example, as 363348550656 + 71122489344 = 602784^2 + 266688^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 149 ways as a sum of consecutive naturals, for example, 14981759986 + ... + 14981760014.

Almost surely, 2^434471040000 is an apocalyptic number.

434471040000 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 434471040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890807533935).

434471040000 is an abundant number, since it is smaller than the sum of its proper divisors (1347144027870).

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

434471040000 is an equidigital number, since it uses as much as digits as its factorization.

434471040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 434471040000 in words is "four hundred thirty-four billion, four hundred seventy-one million, forty thousand".