434675888640 has 1920 divisors, whose sum is σ = 1949128676352. Its totient is φ = 87199580160.

The previous prime is 434675888533. The next prime is 434675888653. The reversal of 434675888640 is 46888576434.

434675888640 is a `hidden beast` number, since 4 + 3 + 4 + 6 + 7 + 588 + 8 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3846689224 + ... + 3846689336.

Almost surely, 2^434675888640 is an apocalyptic number.

434675888640 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 434675888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974564338176).

434675888640 is an abundant number, since it is smaller than the sum of its proper divisors (1514452787712).

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

434675888640 is a wasteful number, since it uses less digits than its factorization.

434675888640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 434675888640 in words is "four hundred thirty-four billion, six hundred seventy-five million, eight hundred eighty-eight thousand, six hundred forty".