4053025002400 has 108 divisors (see below), whose sum is σ = 10875715046406. Its totient is φ = 1473827238400.

The previous prime is 4053025002359. The next prime is 4053025002451. The reversal of 4053025002400 is 42005203504.

It can be written as a sum of positive squares in 3 ways, for example, as 3549260066704 + 503764935696 = 1883948^2 + 709764^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20838247 + ... + 21031846.

Almost surely, 2^{4053025002400} is an apocalyptic number.

4053025002400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4053025002400 is an abundant number, since it is smaller than the sum of its proper divisors (6822690044006).

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

4053025002400 is a wasteful number, since it uses less digits than its factorization.

4053025002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41870135 (or 41870111 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The spelling of 4053025002400 in words is "four trillion, fifty-three billion, twenty-five million, two thousand, four hundred".