1020401040 has 80 divisors (see below), whose sum is σ = 3166636608. Its totient is φ = 271815168.

The previous prime is 1020401017. The next prime is 1020401077. The reversal of 1020401040 is 401040201.

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 (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312054 + ... + 315306.

Almost surely, 2^1020401040 is an apocalyptic number.

1020401040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020401040 is an abundant number, since it is smaller than the sum of its proper divisors (2146235568).

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

1020401040 is a wasteful number, since it uses less digits than its factorization.

1020401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4576 (or 4570 counting only the distinct ones).

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

The square root of 1020401040 is about 31943.7167530643. The cubic root of 1020401040 is about 1006.7546190618.

Adding to 1020401040 its reverse (401040201), we get a palindrome (1421441241).

The spelling of 1020401040 in words is "one billion, twenty million, four hundred one thousand, forty".