190946471040 has 1280 divisors, whose sum is σ = 780282961920. Its totient is φ = 44144787456.

The previous prime is 190946471033. The next prime is 190946471087. The reversal of 190946471040 is 40174649091.

190946471040 is a `hidden beast` number, since 1 + 90 + 94 + 6 + 471 + 0 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 159 ways as a sum of consecutive naturals, for example, 1503515457 + ... + 1503515583.

It is an arithmetic number, because the mean of its divisors is an integer number (609596064).

Almost surely, 2^190946471040 is an apocalyptic number.

190946471040 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 190946471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390141480960).

190946471040 is an abundant number, since it is smaller than the sum of its proper divisors (589336490880).

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

190946471040 is a wasteful number, since it uses less digits than its factorization.

190946471040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 190946471040 in words is "one hundred ninety billion, nine hundred forty-six million, four hundred seventy-one thousand, forty".