4276330007040 has 720 divisors, whose sum is σ = 18553417770888. Its totient is φ = 902255542272.

The previous prime is 4276330007023. The next prime is 4276330007041. The reversal of 4276330007040 is 407000336724.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2360918294784 + 1915411712256 = 1536528^2 + 1383984^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×4276330007040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4276330006986 and 4276330007004.

It is not an unprimeable number, because it can be changed into a prime (4276330007041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14530794 + ... + 14822166.

Almost surely, 2^{4276330007040} is an apocalyptic number.

4276330007040 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 4276330007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9276708885444).

4276330007040 is an abundant number, since it is smaller than the sum of its proper divisors (14277087763848).

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

4276330007040 is a wasteful number, since it uses less digits than its factorization.

4276330007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291429 (or 291403 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 4276330007040 in words is "four trillion, two hundred seventy-six billion, three hundred thirty million, seven thousand, forty".