4282920774720 has 2240 divisors, whose sum is σ = 19616100894720. Its totient is φ = 863451021312.

The previous prime is 4282920774707. The next prime is 4282920774761. The reversal of 4282920774720 is 274770292824.

4282920774720 is a `hidden beast` number, since 4 + 2 + 82 + 9 + 20 + 77 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6270747499 + ... + 6270748181.

Almost surely, 2^{4282920774720} is an apocalyptic number.

4282920774720 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 4282920774720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9808050447360).

4282920774720 is an abundant number, since it is smaller than the sum of its proper divisors (15333180120000).

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

4282920774720 is a wasteful number, since it uses less digits than its factorization.

4282920774720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 4282920774720 in words is "four trillion, two hundred eighty-two billion, nine hundred twenty million, seven hundred seventy-four thousand, seven hundred twenty".