1146011040 has 144 divisors (see below), whose sum is σ = 3919563648. Its totient is φ = 304915968.

The previous prime is 1146011023. The next prime is 1146011057. The reversal of 1146011040 is 401106411.

1146011040 is a `hidden beast` number, since 1 + 14 + 601 + 10 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1146011023) and next prime (1146011057).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1184637 + ... + 1185603.

It is an arithmetic number, because the mean of its divisors is an integer number (27219192).

Almost surely, 2^1146011040 is an apocalyptic number.

1146011040 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 1146011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959781824).

1146011040 is an abundant number, since it is smaller than the sum of its proper divisors (2773552608).

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

1146011040 is a wasteful number, since it uses less digits than its factorization.

1146011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1146011040 is about 33852.7848189776. The cubic root of 1146011040 is about 1046.4767899486.

Adding to 1146011040 its reverse (401106411), we get a palindrome (1547117451).

It can be divided in two parts, 11460 and 11040, that added together give a square (22500 = 150²).

The spelling of 1146011040 in words is "one billion, one hundred forty-six million, eleven thousand, forty".