10200104040 has 256 divisors, whose sum is σ = 37230865920. Its totient is φ = 2182348800.

The previous prime is 10200104011. The next prime is 10200104051. The reversal of 10200104040 is 4040100201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2754190 + ... + 2757890.

It is an arithmetic number, because the mean of its divisors is an integer number (145433070).

Almost surely, 2^10200104040 is an apocalyptic number.

10200104040 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 10200104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18615432960).

10200104040 is an abundant number, since it is smaller than the sum of its proper divisors (27030761880).

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

10200104040 is a wasteful number, since it uses less digits than its factorization.

10200104040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3932 (or 3928 counting only the distinct ones).

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

Adding to 10200104040 its reverse (4040100201), we get a palindrome (14240204241).

It can be divided in two parts, 10200 and 104040, that multiplied together give a cube (1061208000 = 1020³).

The spelling of 10200104040 in words is "ten billion, two hundred million, one hundred four thousand, forty".