341052089040 has 480 divisors, whose sum is σ = 1254679695360. Its totient is φ = 82520653824.

The previous prime is 341052089039. The next prime is 341052089071. The reversal of 341052089040 is 40980250143.

341052089040 is a `hidden beast` number, since 3 + 4 + 1 + 0 + 520 + 8 + 90 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 341052088986 and 341052089004.

It is a congruent number.

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, 134324091 + ... + 134326629.

It is an arithmetic number, because the mean of its divisors is an integer number (2613916032).

Almost surely, 2^341052089040 is an apocalyptic number.

341052089040 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 341052089040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627339847680).

341052089040 is an abundant number, since it is smaller than the sum of its proper divisors (913627606320).

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

341052089040 is a wasteful number, since it uses less digits than its factorization.

341052089040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 341052089040 in words is "three hundred forty-one billion, fifty-two million, eighty-nine thousand, forty".