41201961120 has 576 divisors, whose sum is σ = 155501337600. Its totient is φ = 10166446080.

The previous prime is 41201961079. The next prime is 41201961127. The reversal of 41201961120 is 2116910214.

41201961120 is a `hidden beast` number, since 4 + 1 + 20 + 1 + 9 + 611 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41201961127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 400018989 + ... + 400019091.

It is an arithmetic number, because the mean of its divisors is an integer number (269967600).

Almost surely, 2^41201961120 is an apocalyptic number.

41201961120 is a gapful number since it is divisible by the number (40) 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 41201961120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77750668800).

41201961120 is an abundant number, since it is smaller than the sum of its proper divisors (114299376480).

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

41201961120 is a wasteful number, since it uses less digits than its factorization.

41201961120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 41201961120 in words is "forty-one billion, two hundred one million, nine hundred sixty-one thousand, one hundred twenty".