1401401021020 has 288 divisors, whose sum is σ = 4008111408000. Its totient is φ = 400484874240.

The previous prime is 1401401021003. The next prime is 1401401021023. The reversal of 1401401021020 is 201201041041.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1401401020985 and 1401401021003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401401021023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32791426 + ... + 32834134.

It is an arithmetic number, because the mean of its divisors is an integer number (13917053500).

Almost surely, 2^{1401401021020} is an apocalyptic number.

1401401021020 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 1401401021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004055704000).

1401401021020 is an abundant number, since it is smaller than the sum of its proper divisors (2606710386980).

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

1401401021020 is a wasteful number, since it uses less digits than its factorization.

1401401021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42909 (or 42896 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1401401021020 its reverse (201201041041), we get a palindrome (1602602062061).

The spelling of 1401401021020 in words is "one trillion, four hundred one billion, four hundred one million, twenty-one thousand, twenty".