10413531450 has 384 divisors, whose sum is σ = 34307328000. Its totient is φ = 2320436160.

The previous prime is 10413531433. The next prime is 10413531467. The reversal of 10413531450 is 5413531401.

It is a happy number.

10413531450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10413531433) and next prime (10413531467).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 191 ways as a sum of consecutive naturals, for example, 19910889 + ... + 19911411.

It is an arithmetic number, because the mean of its divisors is an integer number (89342000).

Almost surely, 2^10413531450 is an apocalyptic number.

10413531450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10413531450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17153664000).

10413531450 is an abundant number, since it is smaller than the sum of its proper divisors (23893796550).

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

10413531450 is a wasteful number, since it uses less digits than its factorization.

10413531450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 10413531450 in words is "ten billion, four hundred thirteen million, five hundred thirty-one thousand, four hundred fifty".