10200503040 has 288 divisors, whose sum is σ = 40097197056. Its totient is φ = 2152120320.

The previous prime is 10200502997. The next prime is 10200503057. The reversal of 10200503040 is 4030500201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334845 + ... + 364035.

Almost surely, 2^10200503040 is an apocalyptic number.

10200503040 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 10200503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20048598528).

10200503040 is an abundant number, since it is smaller than the sum of its proper divisors (29896694016).

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

10200503040 is a wasteful number, since it uses less digits than its factorization.

10200503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29235 (or 29221 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The spelling of 10200503040 in words is "ten billion, two hundred million, five hundred three thousand, forty".