1141627680 has 72 divisors (see below), whose sum is σ = 3895809372. Its totient is φ = 304433664.

The previous prime is 1141627679. The next prime is 1141627681. The reversal of 1141627680 is 867261411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1141627679) and next prime (1141627681).

It can be written as a sum of positive squares in 2 ways, for example, as 1129766544 + 11861136 = 33612^2 + 3444^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1141627681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 394959 + ... + 397838.

Almost surely, 2^1141627680 is an apocalyptic number.

1141627680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141627680 is an abundant number, since it is smaller than the sum of its proper divisors (2754181692).

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

1141627680 is a wasteful number, since it uses less digits than its factorization.

1141627680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792818 (or 792807 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1141627680 is about 33787.9812951292. The cubic root of 1141627680 is about 1045.1408675892.

The spelling of 1141627680 in words is "one billion, one hundred forty-one million, six hundred twenty-seven thousand, six hundred eighty".