10401412421400 has 768 divisors, whose sum is σ = 43722051609600. Its totient is φ = 1975311360000.

The previous prime is 10401412421363. The next prime is 10401412421431. The reversal of 10401412421400 is 412421410401.

10401412421400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10401412421400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60574866 + ... + 60746334.

It is an arithmetic number, because the mean of its divisors is an integer number (56929754700).

Almost surely, 2^{10401412421400} is an apocalyptic number.

10401412421400 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 10401412421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21861025804800).

10401412421400 is an abundant number, since it is smaller than the sum of its proper divisors (33320639188200).

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

10401412421400 is a wasteful number, since it uses less digits than its factorization.

10401412421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171620 (or 171611 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 10401412421400 its reverse (412421410401), we get a palindrome (10813833831801).

The spelling of 10401412421400 in words is "ten trillion, four hundred one billion, four hundred twelve million, four hundred twenty-one thousand, four hundred".