1010004601144 has 192 divisors, whose sum is σ = 2491310545920. Its totient is φ = 375043468800.

The previous prime is 1010004601139. The next prime is 1010004601211. The reversal of 1010004601144 is 4411064000101.

It is a super-2 number, since 2×1010004601144² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43781757 + ... + 43804819.

It is an arithmetic number, because the mean of its divisors is an integer number (12975575760).

Almost surely, 2^{1010004601144} is an apocalyptic number.

1010004601144 is a gapful number since it is divisible by the number (14) 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 1010004601144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245655272960).

1010004601144 is an abundant number, since it is smaller than the sum of its proper divisors (1481305944776).

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

1010004601144 is a wasteful number, since it uses less digits than its factorization.

1010004601144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23402 (or 23387 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 1010004601144 its reverse (4411064000101), we get a palindrome (5421068601245).

The spelling of 1010004601144 in words is "one trillion, ten billion, four million, six hundred one thousand, one hundred forty-four".