2013468135400 has 48 divisors (see below), whose sum is σ = 4699964183040. Its totient is φ = 802178520000.

The previous prime is 2013468135361. The next prime is 2013468135449. The reversal of 2013468135400 is 45318643102.

It is a self number, because there is not a number n which added to its sum of digits gives 2013468135400.

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, 20004264 + ... + 20104663.

It is an arithmetic number, because the mean of its divisors is an integer number (97915920480).

Almost surely, 2^{2013468135400} is an apocalyptic number.

2013468135400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013468135400 is an abundant number, since it is smaller than the sum of its proper divisors (2686496047640).

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

2013468135400 is a wasteful number, since it uses less digits than its factorization.

2013468135400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40109194 (or 40109185 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 2013468135400 in words is "two trillion, thirteen billion, four hundred sixty-eight million, one hundred thirty-five thousand, four hundred".