1140019920 has 360 divisors, whose sum is σ = 4311661536. Its totient is φ = 279811584.

The previous prime is 1140019919. The next prime is 1140019961. The reversal of 1140019920 is 299100411.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3285187 + ... + 3285533.

Almost surely, 2^1140019920 is an apocalyptic number.

1140019920 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 1140019920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155830768).

1140019920 is an abundant number, since it is smaller than the sum of its proper divisors (3171641616).

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

1140019920 is a wasteful number, since it uses less digits than its factorization.

1140019920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 1140019920 is about 33764.1810207208. The cubic root of 1140019920 is about 1044.6500113796.

It can be divided in two parts, 11 and 40019920, that added together give a triangular number (40019931 = T₈₉₄₆).

The spelling of 1140019920 in words is "one billion, one hundred forty million, nineteen thousand, nine hundred twenty".