4022378680320 has 3328 divisors, whose sum is σ = 19762825420800. Its totient is φ = 753582735360.

The previous prime is 4022378680301. The next prime is 4022378680351. The reversal of 4022378680320 is 230868732204.

4022378680320 is a `hidden beast` number, since 40 + 223 + 7 + 8 + 68 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 93543690219 + ... + 93543690261.

Almost surely, 2^{4022378680320} is an apocalyptic number.

4022378680320 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 4022378680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9881412710400).

4022378680320 is an abundant number, since it is smaller than the sum of its proper divisors (15740446740480).

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

4022378680320 is a wasteful number, since it uses less digits than its factorization.

4022378680320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 4022378680320 in words is "four trillion, twenty-two billion, three hundred seventy-eight million, six hundred eighty thousand, three hundred twenty".