10454014160400 has 960 divisors, whose sum is σ = 37683668090880. Its totient is φ = 2464668518400.

The previous prime is 10454014160393. The next prime is 10454014160411. The reversal of 10454014160400 is 406141045401.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 12890275995 + ... + 12890276805.

It is an arithmetic number, because the mean of its divisors is an integer number (39253820928).

Almost surely, 2^{10454014160400} is an apocalyptic number.

10454014160400 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 10454014160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18841834045440).

10454014160400 is an abundant number, since it is smaller than the sum of its proper divisors (27229653930480).

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

10454014160400 is a wasteful number, since it uses less digits than its factorization.

10454014160400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 10454014160400 in words is "ten trillion, four hundred fifty-four billion, fourteen million, one hundred sixty thousand, four hundred".