190134041040 has 200 divisors, whose sum is σ = 669666210048. Its totient is φ = 49988171520.

The previous prime is 190134041039. The next prime is 190134041059. The reversal of 190134041040 is 40140431091.

190134041040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 190134040995 and 190134041013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 253449 + ... + 666711.

Almost surely, 2^190134041040 is an apocalyptic number.

190134041040 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 190134041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334833105024).

190134041040 is an abundant number, since it is smaller than the sum of its proper divisors (479532169008).

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

190134041040 is a wasteful number, since it uses less digits than its factorization.

190134041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413359 (or 413344 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 190134041040 in words is "one hundred ninety billion, one hundred thirty-four million, forty-one thousand, forty".