10403000215040 has 320 divisors, whose sum is σ = 26661991809024. Its totient is φ = 3879167459328.

The previous prime is 10403000214977. The next prime is 10403000215081. The reversal of 10403000215040 is 4051200030401.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4548752777 + ... + 4548755063.

Almost surely, 2^{10403000215040} is an apocalyptic number.

10403000215040 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 10403000215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13330995904512).

10403000215040 is an abundant number, since it is smaller than the sum of its proper divisors (16258991593984).

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

10403000215040 is a wasteful number, since it uses less digits than its factorization.

10403000215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3277 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 10403000215040 its reverse (4051200030401), we get a palindrome (14454200245441).

The spelling of 10403000215040 in words is "ten trillion, four hundred three billion, two hundred fifteen thousand, forty".