34198868431440 has 960 divisors, whose sum is σ = 129637062696960. Its totient is φ = 8346862909440.

The previous prime is 34198868431433. The next prime is 34198868431463. The reversal of 34198868431440 is 4413486889143.

34198868431440 is a `hidden beast` number, since 3 + 4 + 1 + 9 + 8 + 86 + 84 + 31 + 440 = 666.

It is a congruent number.

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, 7820457094 + ... + 7820461466.

It is an arithmetic number, because the mean of its divisors is an integer number (135038606976).

Almost surely, 2^{34198868431440} is an apocalyptic number.

34198868431440 is a gapful number since it is divisible by the number (30) 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 34198868431440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64818531348480).

34198868431440 is an abundant number, since it is smaller than the sum of its proper divisors (95438194265520).

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

34198868431440 is a wasteful number, since it uses less digits than its factorization.

34198868431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5134 (or 5116 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 34198868431440 in words is "thirty-four trillion, one hundred ninety-eight billion, eight hundred sixty-eight million, four hundred thirty-one thousand, four hundred forty".