201861915540480 has 1056 divisors, whose sum is σ = 802262468839104. Its totient is φ = 48345995280384.

The previous prime is 201861915540473. The next prime is 201861915540547. The reversal of 201861915540480 is 84045519168102.

201861915540480 is a `hidden beast` number, since 2 + 0 + 1 + 8 + 6 + 1 + 9 + 1 + 554 + 0 + 4 + 80 = 666.

201861915540480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 598272304 + ... + 598609616.

Almost surely, 2^{201861915540480} is an apocalyptic number.

201861915540480 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 201861915540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401131234419552).

201861915540480 is an abundant number, since it is smaller than the sum of its proper divisors (600400553298624).

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

201861915540480 is a wasteful number, since it uses less digits than its factorization.

201861915540480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337403 (or 337373 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 201861915540480 in words is "two hundred one trillion, eight hundred sixty-one billion, nine hundred fifteen million, five hundred forty thousand, four hundred eighty".