10413342720 has 544 divisors, whose sum is σ = 40768323840. Its totient is φ = 2500853760.

The previous prime is 10413342697. The next prime is 10413342727. The reversal of 10413342720 is 2724331401.

It is a happy number.

10413342720 is a `hidden beast` number, since 104 + 133 + 427 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10413342727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97320907 + ... + 97321013.

Almost surely, 2^10413342720 is an apocalyptic number.

10413342720 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 10413342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20384161920).

10413342720 is an abundant number, since it is smaller than the sum of its proper divisors (30354981120).

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

10413342720 is an equidigital number, since it uses as much as digits as its factorization.

10413342720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 10413342720 in words is "ten billion, four hundred thirteen million, three hundred forty-two thousand, seven hundred twenty".