10402011144 has 128 divisors (see below), whose sum is σ = 33051648000. Its totient is φ = 2969358912.

The previous prime is 10402011143. The next prime is 10402011181. The reversal of 10402011144 is 44111020401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10402011143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2239977 + ... + 2244615.

It is an arithmetic number, because the mean of its divisors is an integer number (258216000).

Almost surely, 2^10402011144 is an apocalyptic number.

10402011144 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 10402011144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16525824000).

10402011144 is an abundant number, since it is smaller than the sum of its proper divisors (22649636856).

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

10402011144 is a wasteful number, since it uses less digits than its factorization.

10402011144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6144 (or 6134 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10402011144 its reverse (44111020401), we get a palindrome (54513031545).

The spelling of 10402011144 in words is "ten billion, four hundred two million, eleven thousand, one hundred forty-four".