190378535040 has 192 divisors, whose sum is σ = 660810959640. Its totient is φ = 50504269824.

The previous prime is 190378535027. The next prime is 190378535057. The reversal of 190378535040 is 40535873091.

190378535040 is a `hidden beast` number, since 1 + 9 + 0 + 3 + 78 + 535 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 91576443456 + 98802091584 = 302616^2 + 314328^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1026054 + ... + 1197306.

Almost surely, 2^190378535040 is an apocalyptic number.

190378535040 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 190378535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330405479820).

190378535040 is an abundant number, since it is smaller than the sum of its proper divisors (470432424600).

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

190378535040 is a wasteful number, since it uses less digits than its factorization.

190378535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171471 (or 171456 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 190378535040 in words is "one hundred ninety billion, three hundred seventy-eight million, five hundred thirty-five thousand, forty".