4022960918400 has 288 divisors, whose sum is σ = 14358469671000. Its totient is φ = 1072518819840.

The previous prime is 4022960918399. The next prime is 4022960918447. The reversal of 4022960918400 is 48190692204.

4022960918400 is a `hidden beast` number, since 4 + 0 + 2 + 29 + 609 + 18 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 130995847 + ... + 131026553.

Almost surely, 2^{4022960918400} is an apocalyptic number.

4022960918400 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 4022960918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7179234835500).

4022960918400 is an abundant number, since it is smaller than the sum of its proper divisors (10335508752600).

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

4022960918400 is a wasteful number, since it uses less digits than its factorization.

4022960918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35286 (or 35266 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 4022960918400 in words is "four trillion, twenty-two billion, nine hundred sixty million, nine hundred eighteen thousand, four hundred".