10001040 has 80 divisors (see below), whose sum is σ = 35438208. Its totient is φ = 2285568.

The previous prime is 10001009. The next prime is 10001053. The reversal of 10001040 is 4010001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1297 + ... + 4656.

Almost surely, 2^10001040 is an apocalyptic number.

10001040 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 10001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17719104).

10001040 is an abundant number, since it is smaller than the sum of its proper divisors (25437168).

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

10001040 is a wasteful number, since it uses less digits than its factorization.

10001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5976 (or 5970 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 10001040 is about 3162.4420943315. The cubic root of 10001040 is about 215.4509374512.

Adding to 10001040 its reverse (4010001), we get a palindrome (14011041).

The spelling of 10001040 in words is "ten million, one thousand, forty".