10446264360400 has 480 divisors, whose sum is σ = 28430388338688. Its totient is φ = 3655246694400.

The previous prime is 10446264360361. The next prime is 10446264360403. The reversal of 10446264360400 is 406346264401.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10446264360403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6062833939 + ... + 6062835661.

Almost surely, 2^{10446264360400} is an apocalyptic number.

10446264360400 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 10446264360400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14215194169344).

10446264360400 is an abundant number, since it is smaller than the sum of its proper divisors (17984123978288).

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

10446264360400 is a wasteful number, since it uses less digits than its factorization.

10446264360400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 10446264360400 in words is "ten trillion, four hundred forty-six billion, two hundred sixty-four million, three hundred sixty thousand, four hundred".