4021662597120 has 2880 divisors, whose sum is σ = 18320160768000. Its totient is φ = 842764124160.

The previous prime is 4021662597119. The next prime is 4021662597131. The reversal of 4021662597120 is 217952661204.

4021662597120 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 6 + 625 + 9 + 7 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 129731051505 + ... + 129731051535.

Almost surely, 2^{4021662597120} is an apocalyptic number.

4021662597120 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 4021662597120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9160080384000).

4021662597120 is an abundant number, since it is smaller than the sum of its proper divisors (14298498170880).

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

4021662597120 is an frugal number, since it uses more digits than its factorization.

4021662597120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 4021662597120 in words is "four trillion, twenty-one billion, six hundred sixty-two million, five hundred ninety-seven thousand, one hundred twenty".