201579196674240 has 1344 divisors, whose sum is σ = 926824820382720. Its totient is φ = 40065360445440.

The previous prime is 201579196674187. The next prime is 201579196674253. The reversal of 201579196674240 is 42476691975102.

201579196674240 is a `hidden beast` number, since 2 + 0 + 1 + 579 + 19 + 6 + 6 + 7 + 4 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 351646732 + ... + 352219508.

It is an arithmetic number, because the mean of its divisors is an integer number (689601800880).

Almost surely, 2^{201579196674240} is an apocalyptic number.

201579196674240 is a gapful number since it is divisible by the number (20) 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 201579196674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463412410191360).

201579196674240 is an abundant number, since it is smaller than the sum of its proper divisors (725245623708480).

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

201579196674240 is a wasteful number, since it uses less digits than its factorization.

201579196674240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572867 (or 572828 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 201579196674240 in words is "two hundred one trillion, five hundred seventy-nine billion, one hundred ninety-six million, six hundred seventy-four thousand, two hundred forty".