1010314424000 has 448 divisors, whose sum is σ = 2900025403392. Its totient is φ = 341521920000.

The previous prime is 1010314423999. The next prime is 1010314424023. The reversal of 1010314424000 is 4244130101.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1378327634 + ... + 1378328366.

Almost surely, 2^{1010314424000} is an apocalyptic number.

1010314424000 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 1010314424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450012701696).

1010314424000 is an abundant number, since it is smaller than the sum of its proper divisors (1889710979392).

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

1010314424000 is a wasteful number, since it uses less digits than its factorization.

1010314424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1010314424000 its reverse (4244130101), we get a palindrome (1014558554101).

The spelling of 1010314424000 in words is "one trillion, ten billion, three hundred fourteen million, four hundred twenty-four thousand".