4141772827920 has 2400 divisors, whose sum is σ = 19067812519392. Its totient is φ = 797504569344.

The previous prime is 4141772827919. The next prime is 4141772827921. The reversal of 4141772827920 is 297282771414.

It is a happy number.

4141772827920 is a `hidden beast` number, since 414 + 17 + 72 + 82 + 79 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4141772827919) and next prime (4141772827921).

It can be written as a sum of positive squares in 16 ways, for example, as 271063296 + 4141501764624 = 16464^2 + 2035068^2 .

It is not an unprimeable number, because it can be changed into a prime (4141772827921) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 14135743294 + ... + 14135743586.

Almost surely, 2^{4141772827920} is an apocalyptic number.

4141772827920 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 4141772827920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9533906259696).

4141772827920 is an abundant number, since it is smaller than the sum of its proper divisors (14926039691472).

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

4141772827920 is a wasteful number, since it uses less digits than its factorization.

4141772827920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 4141772827920 in words is "four trillion, one hundred forty-one billion, seven hundred seventy-two million, eight hundred twenty-seven thousand, nine hundred twenty".