4122402510400 has 42 divisors (see below), whose sum is σ = 10143686681090. Its totient is φ = 1648961003520.

The previous prime is 4122402510383. The next prime is 4122402510407. The reversal of 4122402510400 is 40152042214.

It can be written as a sum of positive squares in 3 ways, for example, as 23364956736 + 4099037553664 = 152856^2 + 2024608^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4122402510407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1288249185 + ... + 1288252384.

Almost surely, 2^{4122402510400} is an apocalyptic number.

4122402510400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4122402510400 is an abundant number, since it is smaller than the sum of its proper divisors (6021284170690).

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

4122402510400 is a wasteful number, since it uses less digits than its factorization.

4122402510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2576501591 (or 2576501576 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 4122402510400 its reverse (40152042214), we get a palindrome (4162554552614).

The spelling of 4122402510400 in words is "four trillion, one hundred twenty-two billion, four hundred two million, five hundred ten thousand, four hundred".