1010493169920 has 1440 divisors, whose sum is σ = 4031222912640. Its totient is φ = 240152739840.

The previous prime is 1010493169919. The next prime is 1010493169921. The reversal of 1010493169920 is 299613940101.

1010493169920 is a `hidden beast` number, since 1 + 0 + 10 + 493 + 1 + 69 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1010493169919) and next prime (1010493169921).

It is a tau number, because it is divible by the number of its divisors (1440).

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 (1010493169921) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7713688255 + ... + 7713688385.

It is an arithmetic number, because the mean of its divisors is an integer number (2799460356).

Almost surely, 2^{1010493169920} is an apocalyptic number.

1010493169920 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 1010493169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015611456320).

1010493169920 is an abundant number, since it is smaller than the sum of its proper divisors (3020729742720).

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

1010493169920 is a wasteful number, since it uses less digits than its factorization.

1010493169920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 1010493169920 in words is "one trillion, ten billion, four hundred ninety-three million, one hundred sixty-nine thousand, nine hundred twenty".