1020405655200 has 144 divisors (see below), whose sum is σ = 3496232164320. Its totient is φ = 257786680320.

The previous prime is 1020405655183. The next prime is 1020405655259. The reversal of 1020405655200 is 25565040201.

1020405655200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11143059 + ... + 11234258.

It is an arithmetic number, because the mean of its divisors is an integer number (24279390030).

Almost surely, 2^{1020405655200} is an apocalyptic number.

1020405655200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020405655200 is an abundant number, since it is smaller than the sum of its proper divisors (2475826509120).

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

1020405655200 is a wasteful number, since it uses less digits than its factorization.

1020405655200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22377359 (or 22377346 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 1020405655200 in words is "one trillion, twenty billion, four hundred five million, six hundred fifty-five thousand, two hundred".