10319774400 has 252 divisors, whose sum is σ = 39501086352. Its totient is φ = 2540206080.

The previous prime is 10319774363. The next prime is 10319774447. The reversal of 10319774400 is 447791301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 159637 + ... + 214763.

Almost surely, 2^10319774400 is an apocalyptic number.

10319774400 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 10319774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19750543176).

10319774400 is an abundant number, since it is smaller than the sum of its proper divisors (29181311952).

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

10319774400 is a wasteful number, since it uses less digits than its factorization.

10319774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55168 (or 55150 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 10319774400 in words is "ten billion, three hundred nineteen million, seven hundred seventy-four thousand, four hundred".