1000401401340 has 144 divisors (see below), whose sum is σ = 3319906917600. Its totient is φ = 241826480640.

The previous prime is 1000401401317. The next prime is 1000401401407. The reversal of 1000401401340 is 431041040001.

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

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, 32839 + ... + 1414878.

It is an arithmetic number, because the mean of its divisors is an integer number (23054909150).

Almost surely, 2^{1000401401340} is an apocalyptic number.

1000401401340 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 1000401401340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659953458800).

1000401401340 is an abundant number, since it is smaller than the sum of its proper divisors (2319505516260).

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

1000401401340 is a wasteful number, since it uses less digits than its factorization.

1000401401340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448092 (or 1448087 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1000401401340 its reverse (431041040001), we get a palindrome (1431442441341).

The spelling of 1000401401340 in words is "one trillion, four hundred one million, four hundred one thousand, three hundred forty".