20003401002400 has 72 divisors (see below), whose sum is σ = 51705849949740. Its totient is φ = 7530692136960.

The previous prime is 20003401002359. The next prime is 20003401002457. The reversal of 20003401002400 is 420010430002.

It can be written as a sum of positive squares in 6 ways, for example, as 3193040200464 + 16810360801936 = 1786908^2 + 4100044^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 735405555 + ... + 735432754.

Almost surely, 2^{20003401002400} is an apocalyptic number.

20003401002400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20003401002400 is an abundant number, since it is smaller than the sum of its proper divisors (31702448947340).

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

20003401002400 is a wasteful number, since it uses less digits than its factorization.

20003401002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470838346 (or 1470838333 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 20003401002400 its reverse (420010430002), we get a palindrome (20423411432402).

The spelling of 20003401002400 in words is "twenty trillion, three billion, four hundred one million, two thousand, four hundred".