4213830263040 has 864 divisors, whose sum is σ = 16177437494400. Its totient is φ = 1047005429760.

The previous prime is 4213830262969. The next prime is 4213830263107. The reversal of 4213830263040 is 403620383124.

4213830263040 is a `hidden beast` number, since 4 + 2 + 13 + 8 + 3 + 0 + 2 + 630 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4213830262986 and 4213830263004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 360489516 + ... + 360501204.

Almost surely, 2^{4213830263040} is an apocalyptic number.

4213830263040 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 4213830263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8088718747200).

4213830263040 is an abundant number, since it is smaller than the sum of its proper divisors (11963607231360).

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

4213830263040 is a wasteful number, since it uses less digits than its factorization.

4213830263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11805 (or 11779 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 4213830263040 in words is "four trillion, two hundred thirteen billion, eight hundred thirty million, two hundred sixty-three thousand, forty".