1020401121400 has 96 divisors (see below), whose sum is σ = 2411190182880. Its totient is φ = 401544000000.

The previous prime is 1020401121359. The next prime is 1020401121413. The reversal of 1020401121400 is 41211040201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3010525 + ... + 3332275.

It is an arithmetic number, because the mean of its divisors is an integer number (25116564405).

Almost surely, 2^{1020401121400} is an apocalyptic number.

1020401121400 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 1020401121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205595091440).

1020401121400 is an abundant number, since it is smaller than the sum of its proper divisors (1390789061480).

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

1020401121400 is a wasteful number, since it uses less digits than its factorization.

1020401121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322025 (or 322016 counting only the distinct ones).

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

Adding to 1020401121400 its reverse (41211040201), we get a palindrome (1061612161601).

The spelling of 1020401121400 in words is "one trillion, twenty billion, four hundred one million, one hundred twenty-one thousand, four hundred".