203149419840 has 336 divisors, whose sum is σ = 705457771200. Its totient is φ = 53655773184.

The previous prime is 203149419791. The next prime is 203149419871. The reversal of 203149419840 is 48914941302.

203149419840 is a `hidden beast` number, since 2 + 0 + 31 + 494 + 1 + 98 + 40 = 666.

It is a Cunningham number, because it is equal to 450721²-1.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161357131 + ... + 161358389.

It is an arithmetic number, because the mean of its divisors is an integer number (2099576700).

Almost surely, 2^203149419840 is an apocalyptic number.

203149419840 is a gapful number since it is divisible by the number (20) 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 203149419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352728885600).

203149419840 is an abundant number, since it is smaller than the sum of its proper divisors (502308351360).

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

203149419840 is a wasteful number, since it uses less digits than its factorization.

203149419840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 203149419840 in words is "two hundred three billion, one hundred forty-nine million, four hundred nineteen thousand, eight hundred forty".