4009830962880 has 224 divisors, whose sum is σ = 12863539919808. Its totient is φ = 1058203238400.

The previous prime is 4009830962867. The next prime is 4009830962953. The reversal of 4009830962880 is 882690389004.

It is a super-2 number, since 2×4009830962880² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4009830962880.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71677320 + ... + 71733240.

Almost surely, 2^{4009830962880} is an apocalyptic number.

4009830962880 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 4009830962880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6431769959904).

4009830962880 is an abundant number, since it is smaller than the sum of its proper divisors (8853708956928).

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

4009830962880 is a wasteful number, since it uses less digits than its factorization.

4009830962880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56715 (or 56705 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The spelling of 4009830962880 in words is "four trillion, nine billion, eight hundred thirty million, nine hundred sixty-two thousand, eight hundred eighty".