341638223040 has 560 divisors, whose sum is σ = 1258844970240. Its totient is φ = 87857602560.

The previous prime is 341638223029. The next prime is 341638223053. The reversal of 341638223040 is 40322836143.

341638223040 is a `hidden beast` number, since 3 + 4 + 1 + 6 + 382 + 230 + 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 = 341638222986 and 341638223004.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 312568734 + ... + 312569826.

Almost surely, 2^341638223040 is an apocalyptic number.

341638223040 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 341638223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629422485120).

341638223040 is an abundant number, since it is smaller than the sum of its proper divisors (917206747200).

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

341638223040 is a wasteful number, since it uses less digits than its factorization.

341638223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 341638223040 in words is "three hundred forty-one billion, six hundred thirty-eight million, two hundred twenty-three thousand, forty".