10001213400400 has 60 divisors (see below), whose sum is σ = 24856464023100. Its totient is φ = 3862537584640.

The previous prime is 10001213400361. The next prime is 10001213400433. The reversal of 10001213400400 is 400431210001.

It can be written as a sum of positive squares in 6 ways, for example, as 1025820557584 + 8975392842816 = 1012828^2 + 2995896^2 .

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

It is a congruent number.

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, 431075185 + ... + 431098384.

It is an arithmetic number, because the mean of its divisors is an integer number (414274400385).

Almost surely, 2^{10001213400400} is an apocalyptic number.

10001213400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001213400400 is an abundant number, since it is smaller than the sum of its proper divisors (14855250622700).

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

10001213400400 is a wasteful number, since it uses less digits than its factorization.

10001213400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862173616 (or 862173605 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10001213400400 its reverse (400431210001), we get a palindrome (10401644610401).

The spelling of 10001213400400 in words is "ten trillion, one billion, two hundred thirteen million, four hundred thousand, four hundred".