10402010341400 has 192 divisors, whose sum is σ = 24738516633600. Its totient is φ = 4066662080000.

The previous prime is 10402010341399. The next prime is 10402010341409. The reversal of 10402010341400 is 414301020401.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10402010341409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3539301131 + ... + 3539304069.

It is an arithmetic number, because the mean of its divisors is an integer number (128846440800).

Almost surely, 2^{10402010341400} is an apocalyptic number.

10402010341400 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 10402010341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12369258316800).

10402010341400 is an abundant number, since it is smaller than the sum of its proper divisors (14336506292200).

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

10402010341400 is a wasteful number, since it uses less digits than its factorization.

10402010341400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5250 (or 5241 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10402010341400 its reverse (414301020401), we get a palindrome (10816311361801).

The spelling of 10402010341400 in words is "ten trillion, four hundred two billion, ten million, three hundred forty-one thousand, four hundred".