1141449600 has 96 divisors (see below), whose sum is σ = 3759681240. Its totient is φ = 304384000.

The previous prime is 1141449559. The next prime is 1141449601. The reversal of 1141449600 is 69441411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141449601) 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, 49851 + ... + 69050.

Almost surely, 2^1141449600 is an apocalyptic number.

1141449600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141449600 is an abundant number, since it is smaller than the sum of its proper divisors (2618231640).

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

1141449600 is a wasteful number, since it uses less digits than its factorization.

1141449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118928 (or 118911 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1141449600 is about 33785.3459357752. The cubic root of 1141449600 is about 1045.0865216855.

The spelling of 1141449600 in words is "one billion, one hundred forty-one million, four hundred forty-nine thousand, six hundred".