4035226766400 has 420 divisors, whose sum is σ = 14841010947840. Its totient is φ = 1075441536000.

The previous prime is 4035226766387. The next prime is 4035226766401. The reversal of 4035226766400 is 46676225304.

4035226766400 is a `hidden beast` number, since 4 + 0 + 3 + 522 + 67 + 6 + 64 + 0 + 0 = 666.

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 (4035226766401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 252841621 + ... + 252857579.

It is an arithmetic number, because the mean of its divisors is an integer number (35335740352).

Almost surely, 2^{4035226766400} is an apocalyptic number.

4035226766400 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 4035226766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7420505473920).

4035226766400 is an abundant number, since it is smaller than the sum of its proper divisors (10805784181440).

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

4035226766400 is a wasteful number, since it uses less digits than its factorization.

4035226766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17944 (or 17920 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 4035226766400 in words is "four trillion, thirty-five billion, two hundred twenty-six million, seven hundred sixty-six thousand, four hundred".