10461374400 has 168 divisors, whose sum is σ = 34383049344. Its totient is φ = 2784742400.

The previous prime is 10461374381. The next prime is 10461374431. The reversal of 10461374400 is 447316401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3276805 + ... + 3279995.

It is an arithmetic number, because the mean of its divisors is an integer number (204661008).

Almost surely, 2^10461374400 is an apocalyptic number.

10461374400 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 10461374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17191524672).

10461374400 is an abundant number, since it is smaller than the sum of its proper divisors (23921674944).

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

10461374400 is a wasteful number, since it uses less digits than its factorization.

10461374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3899 (or 3884 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 10461374400 in words is "ten billion, four hundred sixty-one million, three hundred seventy-four thousand, four hundred".