400002242400 has 432 divisors, whose sum is σ = 1505693629440. Its totient is φ = 99627494400.

The previous prime is 400002242399. The next prime is 400002242411. The reversal of 400002242400 is 4242200004.

400002242400 is a `hidden beast` number, since 40 + 0 + 0 + 0 + 224 + 2 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9692209 + ... + 9733391.

It is an arithmetic number, because the mean of its divisors is an integer number (3485401920).

Almost surely, 2^400002242400 is an apocalyptic number.

400002242400 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 400002242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752846814720).

400002242400 is an abundant number, since it is smaller than the sum of its proper divisors (1105691387040).

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

400002242400 is a wasteful number, since it uses less digits than its factorization.

400002242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41299 (or 41283 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 400002242400 its reverse (4242200004), we get a palindrome (404244442404).

The spelling of 400002242400 in words is "four hundred billion, two million, two hundred forty-two thousand, four hundred".