4402214191440 has 1920 divisors, whose sum is σ = 18016846848000. Its totient is φ = 953126092800.

The previous prime is 4402214191381. The next prime is 4402214191457. The reversal of 4402214191440 is 441914122044.

4402214191440 is a `hidden beast` number, since 4 + 4 + 0 + 2 + 21 + 4 + 191 + 440 = 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 = 4402214191395 and 4402214191404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23048241745 + ... + 23048241935.

It is an arithmetic number, because the mean of its divisors is an integer number (9383774400).

Almost surely, 2^{4402214191440} is an apocalyptic number.

4402214191440 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 4402214191440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9008423424000).

4402214191440 is an abundant number, since it is smaller than the sum of its proper divisors (13614632656560).

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

4402214191440 is a wasteful number, since it uses less digits than its factorization.

4402214191440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 4402214191440 in words is "four trillion, four hundred two billion, two hundred fourteen million, one hundred ninety-one thousand, four hundred forty".