1205535040400 has 30 divisors (see below), whose sum is σ = 2896297935522. Its totient is φ = 482214016000.

The previous prime is 1205535040363. The next prime is 1205535040543. The reversal of 1205535040400 is 40405355021.

It can be written as a sum of positive squares in 3 ways, for example, as 91049441536 + 1114485598864 = 301744^2 + 1055692^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1506918401 + ... + 1506919200.

Almost surely, 2^{1205535040400} is an apocalyptic number.

1205535040400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1205535040400 is an abundant number, since it is smaller than the sum of its proper divisors (1690762895122).

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

1205535040400 is a wasteful number, since it uses less digits than its factorization.

1205535040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013837619 (or 3013837608 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The spelling of 1205535040400 in words is "one trillion, two hundred five billion, five hundred thirty-five million, forty thousand, four hundred".