4031222912640 has 2560 divisors, whose sum is σ = 18571087123200. Its totient is φ = 826181959680.

The previous prime is 4031222912621. The next prime is 4031222912641. The reversal of 4031222912640 is 462192221304.

It is a happy number.

4031222912640 is a `hidden beast` number, since 4 + 0 + 3 + 1 + 2 + 2 + 2 + 9 + 1 + 2 + 640 = 666.

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 = 4031222912595 and 4031222912604.

It is not an unprimeable number, because it can be changed into a prime (4031222912641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 55222231644 + ... + 55222231716.

Almost surely, 2^{4031222912640} is an apocalyptic number.

4031222912640 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 4031222912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9285543561600).

4031222912640 is an abundant number, since it is smaller than the sum of its proper divisors (14539864210560).

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

4031222912640 is an frugal number, since it uses more digits than its factorization.

4031222912640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 4031222912640 in words is "four trillion, thirty-one billion, two hundred twenty-two million, nine hundred twelve thousand, six hundred forty".