1001040420 has 96 divisors (see below), whose sum is σ = 2880541440. Its totient is φ = 259594240.

The previous prime is 1001040419. The next prime is 1001040487. The reversal of 1001040420 is 240401001.

1001040420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1001040396 and 1001040405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1236976 + ... + 1237784.

It is an arithmetic number, because the mean of its divisors is an integer number (30005640).

Almost surely, 2^1001040420 is an apocalyptic number.

1001040420 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 1001040420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440270720).

1001040420 is an abundant number, since it is smaller than the sum of its proper divisors (1879501020).

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

1001040420 is a wasteful number, since it uses less digits than its factorization.

1001040420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1001040420 is about 31639.2228096709. Note that the first 3 decimals coincide. The cubic root of 1001040420 is about 1000.3466864613.

Adding to 1001040420 its reverse (240401001), we get a palindrome (1241441421).

The spelling of 1001040420 in words is "one billion, one million, forty thousand, four hundred twenty".