10413353400 has 192 divisors, whose sum is σ = 34615641600. Its totient is φ = 2580264960.

The previous prime is 10413353399. The next prime is 10413353429. The reversal of 10413353400 is 435331401.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 799339 + ... + 812261.

It is an arithmetic number, because the mean of its divisors is an integer number (180289800).

Almost surely, 2^10413353400 is an apocalyptic number.

10413353400 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 10413353400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17307820800).

10413353400 is an abundant number, since it is smaller than the sum of its proper divisors (24202288200).

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

10413353400 is a wasteful number, since it uses less digits than its factorization.

10413353400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13038 (or 13029 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 10413353400 its reverse (435331401), we get a palindrome (10848684801).

It can be divided in two parts, 1041335 and 3400, that added together give a triangular number (1044735 = T₁₄₄₅).

The spelling of 10413353400 in words is "ten billion, four hundred thirteen million, three hundred fifty-three thousand, four hundred".