1040152032 has 72 divisors (see below), whose sum is σ = 2969923320. Its totient is φ = 345312000.

The previous prime is 1040152007. The next prime is 1040152033. The reversal of 1040152032 is 2302510401.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 1040151996 and 1040152014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040152033) 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, 65094 + ... + 79482.

It is an arithmetic number, because the mean of its divisors is an integer number (41248935).

Almost surely, 2^1040152032 is an apocalyptic number.

1040152032 is a gapful number since it is divisible by the number (12) 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 1040152032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484961660).

1040152032 is an abundant number, since it is smaller than the sum of its proper divisors (1929771288).

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

1040152032 is a wasteful number, since it uses less digits than its factorization.

1040152032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14656 (or 14645 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1040152032 is about 32251.3880631516. The cubic root of 1040152032 is about 1013.2087708539.

Adding to 1040152032 its reverse (2302510401), we get a palindrome (3342662433).

The spelling of 1040152032 in words is "one billion, forty million, one hundred fifty-two thousand, thirty-two".