4030675421760 has 560 divisors, whose sum is σ = 15553615126896. Its totient is φ = 984912887808.

The previous prime is 4030675421737. The next prime is 4030675421767. The reversal of 4030675421760 is 671245760304.

4030675421760 is a `hidden beast` number, since 4 + 0 + 30 + 6 + 7 + 542 + 1 + 76 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 917963274816 + 3112712146944 = 958104^2 + 1764288^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4030675421767) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46119864 + ... + 46207176.

Almost surely, 2^{4030675421760} is an apocalyptic number.

4030675421760 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 4030675421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7776807563448).

4030675421760 is an abundant number, since it is smaller than the sum of its proper divisors (11522939705136).

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

4030675421760 is a wasteful number, since it uses less digits than its factorization.

4030675421760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87492 (or 87473 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 4030675421760 in words is "four trillion, thirty billion, six hundred seventy-five million, four hundred twenty-one thousand, seven hundred sixty".