4209960990720 has 768 divisors, whose sum is σ = 14701783824000. Its totient is φ = 1024433586176.

The previous prime is 4209960990661. The next prime is 4209960990749. The reversal of 4209960990720 is 270990699024.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×4209960990720² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2463405226 + ... + 2463406934.

Almost surely, 2^{4209960990720} is an apocalyptic number.

4209960990720 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 4209960990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7350891912000).

4209960990720 is an abundant number, since it is smaller than the sum of its proper divisors (10491822833280).

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

4209960990720 is a wasteful number, since it uses less digits than its factorization.

4209960990720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 57.

The spelling of 4209960990720 in words is "four trillion, two hundred nine billion, nine hundred sixty million, nine hundred ninety thousand, seven hundred twenty".