1119156480 has 576 divisors, whose sum is σ = 4450360320. Its totient is φ = 264536064.

The previous prime is 1119156473. The next prime is 1119156539. The reversal of 1119156480 is 846519111.

It is a happy number.

1119156480 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 1 + 5 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×1119156480³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21116134 + ... + 21116186.

It is an arithmetic number, because the mean of its divisors is an integer number (7726320).

Almost surely, 2^1119156480 is an apocalyptic number.

1119156480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1119156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225180160).

1119156480 is an abundant number, since it is smaller than the sum of its proper divisors (3331203840).

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

1119156480 is a wasteful number, since it uses less digits than its factorization.

1119156480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The square root of 1119156480 is about 33453.7961971433. The cubic root of 1119156480 is about 1038.2380422353.

The spelling of 1119156480 in words is "one billion, one hundred nineteen million, one hundred fifty-six thousand, four hundred eighty".