1041958632 has 288 divisors, whose sum is σ = 3345058080. Its totient is φ = 266595840.

The previous prime is 1041958579. The next prime is 1041958633. The reversal of 1041958632 is 2368591401.

1041958632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1041958632² = 2171355581598622848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1041958633) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35929594 + ... + 35929622.

It is an arithmetic number, because the mean of its divisors is an integer number (11614785).

Almost surely, 2^1041958632 is an apocalyptic number.

1041958632 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 1041958632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672529040).

1041958632 is an abundant number, since it is smaller than the sum of its proper divisors (2303099448).

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

1041958632 is a wasteful number, since it uses less digits than its factorization.

1041958632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 1041958632 is about 32279.3840089925. The cubic root of 1041958632 is about 1013.7950326622.

The spelling of 1041958632 in words is "one billion, forty-one million, nine hundred fifty-eight thousand, six hundred thirty-two".