199431373440 has 1024 divisors, whose sum is σ = 754833945600. Its totient is φ = 44378357760.

The previous prime is 199431373439. The next prime is 199431373483. The reversal of 199431373440 is 44373134991.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 199431373440.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 870879246 + ... + 870879474.

It is an arithmetic number, because the mean of its divisors is an integer number (737142525).

Almost surely, 2^199431373440 is an apocalyptic number.

199431373440 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 199431373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377416972800).

199431373440 is an abundant number, since it is smaller than the sum of its proper divisors (555402572160).

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

199431373440 is a wasteful number, since it uses less digits than its factorization.

199431373440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 199431373440 in words is "one hundred ninety-nine billion, four hundred thirty-one million, three hundred seventy-three thousand, four hundred forty".