1010401242400 has 576 divisors, whose sum is σ = 3002963798016. Its totient is φ = 327444480000.

The previous prime is 1010401242343. The next prime is 1010401242407. The reversal of 1010401242400 is 42421040101.

It is not an unprimeable number, because it can be changed into a prime (1010401242407) 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, 354400975 + ... + 354403825.

It is an arithmetic number, because the mean of its divisors is an integer number (5213478816).

Almost surely, 2^{1010401242400} is an apocalyptic number.

1010401242400 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 1010401242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501481899008).

1010401242400 is an abundant number, since it is smaller than the sum of its proper divisors (1992562555616).

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

1010401242400 is a wasteful number, since it uses less digits than its factorization.

1010401242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3025 (or 3012 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 1010401242400 its reverse (42421040101), we get a palindrome (1052822282501).

The spelling of 1010401242400 in words is "one trillion, ten billion, four hundred one million, two hundred forty-two thousand, four hundred".