1211553040 has 40 divisors (see below), whose sum is σ = 2819741400. Its totient is φ = 484125696.

The previous prime is 1211553029. The next prime is 1211553071. The reversal of 1211553040 is 403551121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 341067024 + 870486016 = 18468^2 + 29504^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76702 + ... + 91138.

It is an arithmetic number, because the mean of its divisors is an integer number (70493535).

Almost surely, 2^1211553040 is an apocalyptic number.

1211553040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1211553040 is an abundant number, since it is smaller than the sum of its proper divisors (1608188360).

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

1211553040 is a wasteful number, since it uses less digits than its factorization.

1211553040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15499 (or 15493 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 1211553040 is about 34807.3704838501. The cubic root of 1211553040 is about 1066.0579434798.

The spelling of 1211553040 in words is "one billion, two hundred eleven million, five hundred fifty-three thousand, forty".