4199964153840 has 960 divisors, whose sum is σ = 18707722629120. Its totient is φ = 857552209920.

The previous prime is 4199964153811. The next prime is 4199964153859. The reversal of 4199964153840 is 483514699914.

4199964153840 is a `hidden beast` number, since 4 + 1 + 9 + 9 + 96 + 4 + 1 + 538 + 4 + 0 = 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 191 ways as a sum of consecutive naturals, for example, 42604287 + ... + 42702753.

It is an arithmetic number, because the mean of its divisors is an integer number (19487211072).

Almost surely, 2^{4199964153840} is an apocalyptic number.

4199964153840 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 4199964153840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9353861314560).

4199964153840 is an abundant number, since it is smaller than the sum of its proper divisors (14507758475280).

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

4199964153840 is a wasteful number, since it uses less digits than its factorization.

4199964153840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98547 (or 98528 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 4199964153840 in words is "four trillion, one hundred ninety-nine billion, nine hundred sixty-four million, one hundred fifty-three thousand, eight hundred forty".