4022696400 has 240 divisors, whose sum is σ = 14086384128. Its totient is φ = 976896000.

The previous prime is 4022696399. The next prime is 4022696411. The reversal of 4022696400 is 46962204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 629220 + ... + 635580.

Almost surely, 2^4022696400 is an apocalyptic number.

4022696400 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 4022696400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7043192064).

4022696400 is an abundant number, since it is smaller than the sum of its proper divisors (10063687728).

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

4022696400 is a wasteful number, since it uses less digits than its factorization.

4022696400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6430 (or 6419 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 4022696400 is about 63424.7301925676. The cubic root of 4022696400 is about 1590.3977486787.

The spelling of 4022696400 in words is "four billion, twenty-two million, six hundred ninety-six thousand, four hundred".