1401225231140 has 192 divisors, whose sum is σ = 3494317736448. Its totient is φ = 462122496000.

The previous prime is 1401225231127. The next prime is 1401225231229. The reversal of 1401225231140 is 411325221041.

It is a happy 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 63 ways as a sum of consecutive naturals, for example, 69148610 + ... + 69168870.

It is an arithmetic number, because the mean of its divisors is an integer number (18199571544).

Almost surely, 2^{1401225231140} is an apocalyptic number.

1401225231140 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 1401225231140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747158868224).

1401225231140 is an abundant number, since it is smaller than the sum of its proper divisors (2093092505308).

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

1401225231140 is a wasteful number, since it uses less digits than its factorization.

1401225231140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20518 (or 20516 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The spelling of 1401225231140 in words is "one trillion, four hundred one billion, two hundred twenty-five million, two hundred thirty-one thousand, one hundred forty".