10354416400 has 30 divisors (see below), whose sum is σ = 24876486362. Its totient is φ = 4141766400.

The previous prime is 10354416343. The next prime is 10354416403. The reversal of 10354416400 is 461445301.

It can be written as a sum of positive squares in 3 ways, for example, as 1009714176 + 9344702224 = 31776^2 + 96668^2 .

It is a super-3 number, since 3×10354416400³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10354416403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12942621 + ... + 12943420.

Almost surely, 2^10354416400 is an apocalyptic number.

10354416400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10354416400 is an abundant number, since it is smaller than the sum of its proper divisors (14522069962).

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

10354416400 is a wasteful number, since it uses less digits than its factorization.

10354416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25886059 (or 25886048 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 10354416400 in words is "ten billion, three hundred fifty-four million, four hundred sixteen thousand, four hundred".