4001700471120 has 1200 divisors, whose sum is σ = 16242257553984. Its totient is φ = 909281894400.

The previous prime is 4001700471089. The next prime is 4001700471121. The reversal of 4001700471120 is 211740071004.

4001700471120 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 70 + 0 + 471 + 120 = 666.

It is a super-3 number, since 3×4001700471120³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001700471121) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4412017707 + ... + 4412018613.

Almost surely, 2^{4001700471120} is an apocalyptic number.

4001700471120 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 4001700471120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8121128776992).

4001700471120 is an abundant number, since it is smaller than the sum of its proper divisors (12240557082864).

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

4001700471120 is a wasteful number, since it uses less digits than its factorization.

4001700471120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The spelling of 4001700471120 in words is "four trillion, one billion, seven hundred million, four hundred seventy-one thousand, one hundred twenty".