4061157884784 has 1680 divisors, whose sum is σ = 16167228453376. Its totient is φ = 961109867520.

The previous prime is 4061157884761. The next prime is 4061157884897. The reversal of 4061157884784 is 4874887511604.

4061157884784 is a `hidden beast` number, since 4 + 0 + 6 + 1 + 157 + 8 + 8 + 478 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 13228527159 + ... + 13228527465.

Almost surely, 2^{4061157884784} is an apocalyptic number.

4061157884784 is a gapful number since it is divisible by the number (44) 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 4061157884784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8083614226688).

4061157884784 is an abundant number, since it is smaller than the sum of its proper divisors (12106070568592).

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

4061157884784 is a wasteful number, since it uses less digits than its factorization.

4061157884784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 4061157884784 in words is "four trillion, sixty-one billion, one hundred fifty-seven million, eight hundred eighty-four thousand, seven hundred eighty-four".