1010401140 has 96 divisors (see below), whose sum is σ = 3253340160. Its totient is φ = 229516416.

The previous prime is 1010401123. The next prime is 1010401177. The reversal of 1010401140 is 411040101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61081 + ... + 75839.

It is an arithmetic number, because the mean of its divisors is an integer number (33888960).

Almost surely, 2^1010401140 is an apocalyptic number.

1010401140 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 1010401140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626670080).

1010401140 is an abundant number, since it is smaller than the sum of its proper divisors (2242939020).

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

1010401140 is a wasteful number, since it uses less digits than its factorization.

1010401140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14941 (or 14939 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1010401140 is about 31786.8076409066. The cubic root of 1010401140 is about 1003.4550952350.

Adding to 1010401140 its reverse (411040101), we get a palindrome (1421441241).

The spelling of 1010401140 in words is "one billion, ten million, four hundred one thousand, one hundred forty".