434871480353640 has 384 divisors, whose sum is σ = 1548733613857920. Its totient is φ = 96801960755200.

The previous prime is 434871480353617. The next prime is 434871480353671. The reversal of 434871480353640 is 46353084178434.

It is a super-2 number, since 2×434871480353640² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1738744 + ... + 29542616.

It is an arithmetic number, because the mean of its divisors is an integer number (4033160452755).

Almost surely, 2^{434871480353640} is an apocalyptic number.

434871480353640 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 434871480353640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774366806928960).

434871480353640 is an abundant number, since it is smaller than the sum of its proper divisors (1113862133504280).

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

434871480353640 is a wasteful number, since it uses less digits than its factorization.

434871480353640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27803973 (or 27803952 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 60.

The spelling of 434871480353640 in words is "four hundred thirty-four trillion, eight hundred seventy-one billion, four hundred eighty million, three hundred fifty-three thousand, six hundred forty".