4402020440400 has 120 divisors (see below), whose sum is σ = 15383060566944. Its totient is φ = 1067156467200.

The previous prime is 4402020440393. The next prime is 4402020440431. The reversal of 4402020440400 is 40440202044.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-4 number, since 4×4402020440400⁴ (a number of 52 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166729999 + ... + 166756398.

Almost surely, 2^{4402020440400} is an apocalyptic number.

4402020440400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4402020440400 is an abundant number, since it is smaller than the sum of its proper divisors (10981040126544).

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

4402020440400 is a wasteful number, since it uses less digits than its factorization.

4402020440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333486429 (or 333486418 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 4402020440400 its reverse (40440202044), we get a palindrome (4442460642444).

The spelling of 4402020440400 in words is "four trillion, four hundred two billion, twenty million, four hundred forty thousand, four hundred".