10020011040 has 240 divisors, whose sum is σ = 38083105368. Its totient is φ = 2466422784.

The previous prime is 10020011011. The next prime is 10020011077. The reversal of 10020011040 is 4011002001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7138898064 + 2881112976 = 84492^2 + 53676^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 138744 + ... + 198216.

Almost surely, 2^10020011040 is an apocalyptic number.

10020011040 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 10020011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19041552684).

10020011040 is an abundant number, since it is smaller than the sum of its proper divisors (28063094328).

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

10020011040 is a wasteful number, since it uses less digits than its factorization.

10020011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59513 (or 59496 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10020011040 its reverse (4011002001), we get a palindrome (14031013041).

The spelling of 10020011040 in words is "ten billion, twenty million, eleven thousand, forty".