190906332840 has 256 divisors, whose sum is σ = 649370649600. Its totient is φ = 49870080000.

The previous prime is 190906332823. The next prime is 190906332857. The reversal of 190906332840 is 48233609091.

It is a happy number.

190906332840 is a `hidden beast` number, since 1 + 9 + 0 + 9 + 0 + 633 + 2 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (190906332823) and next prime (190906332857).

It is a super-4 number, since 4×190906332840⁴ (a number of 46 digits) contains 4444 as substring.

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 63 ways as a sum of consecutive naturals, for example, 42985020 + ... + 42989460.

It is an arithmetic number, because the mean of its divisors is an integer number (2536604100).

Almost surely, 2^190906332840 is an apocalyptic number.

190906332840 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 190906332840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324685324800).

190906332840 is an abundant number, since it is smaller than the sum of its proper divisors (458464316760).

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

190906332840 is a wasteful number, since it uses less digits than its factorization.

190906332840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5265 (or 5255 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 190906332840 in words is "one hundred ninety billion, nine hundred six million, three hundred thirty-two thousand, eight hundred forty".