10390371494400 has 1440 divisors, whose sum is σ = 42569511716160. Its totient is φ = 2403438428160.

The previous prime is 10390371494389. The next prime is 10390371494401. The reversal of 10390371494400 is 449417309301.

10390371494400 is a `hidden beast` number, since 1 + 0 + 3 + 90 + 3 + 71 + 4 + 94 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10390371494401) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1376751427 + ... + 1376758973.

It is an arithmetic number, because the mean of its divisors is an integer number (29562160914).

Almost surely, 2^{10390371494400} is an apocalyptic number.

10390371494400 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 10390371494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21284755858080).

10390371494400 is an abundant number, since it is smaller than the sum of its proper divisors (32179140221760).

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

10390371494400 is a wasteful number, since it uses less digits than its factorization.

10390371494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7654 (or 7630 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 10390371494400 in words is "ten trillion, three hundred ninety billion, three hundred seventy-one million, four hundred ninety-four thousand, four hundred".