319473440400 has 480 divisors, whose sum is σ = 1097723392000. Its totient is φ = 79188295680.

The previous prime is 319473440387. The next prime is 319473440449. The reversal of 319473440400 is 4044374913.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 347631141 + ... + 347632059.

Almost surely, 2^319473440400 is an apocalyptic number.

319473440400 is a gapful number since it is divisible by the number (30) 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 319473440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548861696000).

319473440400 is an abundant number, since it is smaller than the sum of its proper divisors (778249951600).

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

319473440400 is a wasteful number, since it uses less digits than its factorization.

319473440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 319473440400 in words is "three hundred nineteen billion, four hundred seventy-three million, four hundred forty thousand, four hundred".