341521367040 has 1024 divisors, whose sum is σ = 1426880448000. Its totient is φ = 75874959360.

The previous prime is 341521367017. The next prime is 341521367107. The reversal of 341521367040 is 40763125143.

341521367040 is a `hidden beast` number, since 3 + 415 + 2 + 136 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

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 = 341521366986 and 341521367004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1269596026 + ... + 1269596294.

Almost surely, 2^341521367040 is an apocalyptic number.

341521367040 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 341521367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713440224000).

341521367040 is an abundant number, since it is smaller than the sum of its proper divisors (1085359080960).

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

341521367040 is an equidigital number, since it uses as much as digits as its factorization.

341521367040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 341521367040 in words is "three hundred forty-one billion, five hundred twenty-one million, three hundred sixty-seven thousand, forty".