190381837049040 has 640 divisors, whose sum is σ = 778374652833792. Its totient is φ = 37350128517120.

The previous prime is 190381837049021. The next prime is 190381837049059. The reversal of 190381837049040 is 40940738183091.

It is a happy number.

190381837049040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (190381837049021) and next prime (190381837049059).

It is a congruent number.

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, 27727255 + ... + 33905225.

Almost surely, 2^{190381837049040} is an apocalyptic number.

190381837049040 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 190381837049040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389187326416896).

190381837049040 is an abundant number, since it is smaller than the sum of its proper divisors (587992815784752).

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

190381837049040 is a wasteful number, since it uses less digits than its factorization.

190381837049040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6178107 (or 6178101 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 190381837049040 in words is "one hundred ninety trillion, three hundred eighty-one billion, eight hundred thirty-seven million, forty-nine thousand, forty".