34439427959040 has 864 divisors, whose sum is σ = 131421039894144. Its totient is φ = 8273060167680.

The previous prime is 34439427959033. The next prime is 34439427959087. The reversal of 34439427959040 is 4095972493443.

34439427959040 is a `hidden beast` number, since 3 + 4 + 4 + 39 + 4 + 2 + 7 + 9 + 590 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13607042575 + ... + 13607045105.

Almost surely, 2^{34439427959040} is an apocalyptic number.

34439427959040 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 34439427959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65710519947072).

34439427959040 is an abundant number, since it is smaller than the sum of its proper divisors (96981611935104).

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

34439427959040 is a wasteful number, since it uses less digits than its factorization.

34439427959040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4727 (or 4710 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 34439427959040 in words is "thirty-four trillion, four hundred thirty-nine billion, four hundred twenty-seven million, nine hundred fifty-nine thousand, forty".