34141440960 has 168 divisors, whose sum is σ = 128108116656. Its totient is φ = 8276705280.

The previous prime is 34141440941. The next prime is 34141441021. The reversal of 34141440960 is 6904414143.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 507169 + ... + 570528.

Almost surely, 2^34141440960 is an apocalyptic number.

34141440960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34141440960 is an abundant number, since it is smaller than the sum of its proper divisors (93966675696).

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

34141440960 is a wasteful number, since it uses less digits than its factorization.

34141440960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077731 (or 1077718 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 34141440960 in words is "thirty-four billion, one hundred forty-one million, four hundred forty thousand, nine hundred sixty".