10424296140480 has 280 divisors, whose sum is σ = 37087009404192. Its totient is φ = 2779365961728.

The previous prime is 10424296140413. The next prime is 10424296140481. The reversal of 10424296140480 is 8404169242401.

10424296140480 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 4 + 29 + 6 + 140 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10424296140481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 180970564 + ... + 181028156.

Almost surely, 2^{10424296140480} is an apocalyptic number.

10424296140480 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 10424296140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18543504702096).

10424296140480 is an abundant number, since it is smaller than the sum of its proper divisors (26662713263712).

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

10424296140480 is an equidigital number, since it uses as much as digits as its factorization.

10424296140480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64605 (or 64586 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 10424296140480 in words is "ten trillion, four hundred twenty-four billion, two hundred ninety-six million, one hundred forty thousand, four hundred eighty".